Volume & weight (mass) conversions

Volume & Weight (Mass) Volume & Weight (Mass) ConversionsConversions

con·ver·sion (k n-vûr zh n, -sh n) con·ver·sion (k n-vûr zh n, -sh n) 1. a. 1. a. The act of converting.The act of converting.

b. b. The state of being converted.The state of being converted.c. The expression of a quantity in c. The expression of a quantity in

alternative units, as of length or weight. alternative units, as of length or weight.

Chef AshokkumarChef Ashokkumar

Converting Amounts: Weight (Mass) & VolumesConverting Amounts: Weight (Mass) & Volumes

RulesRules Rule # 1: When creating the fraction to execute a conversion, the Rule # 1: When creating the fraction to execute a conversion, the

“HOW MANY” “HOW MANY” is is ALWAYS ALWAYS the bottom number of the fraction and the the bottom number of the fraction and the “ARE THERE IN”“ARE THERE IN” is is ALWAYS ALWAYS the top number of the fractionthe top number of the fraction

Rule # 2:Rule # 2: When calculating a volume or weight conversion, before you When calculating a volume or weight conversion, before you

divide the fraction, you must change the amounts so you are divide the fraction, you must change the amounts so you are dividing like things; oz. /oz. --- Tbs. /Tbs. --- tsp. / tsp. etc.dividing like things; oz. /oz. --- Tbs. /Tbs. --- tsp. / tsp. etc.

FORMULAFORMULA ARE THERE INARE THERE IN = Conversion = ConversionHOW MANYHOW MANY

EXAMPLEEXAMPLE: How many: How many pints pints are there inare there in 1 ½ 1 ½ gallons.gallons.

Method 1: Method 1: 1 ½ gallons 1 ½ gallons == 1.5 x 128 oz. 1.5 x 128 oz. == 192 oz.192 oz. = = 12 Pints12 Pints Pints 1 x 16 oz. 16 ozPints 1 x 16 oz. 16 oz..


Culinary Math ConversionsCulinary Math Conversions

Method # 2 : Method # 2 : EXAMPLEEXAMPLE: How many pints: How many pints are there inare there in 1 ½ gallons.1 ½ gallons. 1 Gallon = 16 Cups; 1 Gallon = 16 Cups; 1 Gallon = 8 Pints1 Gallon = 8 Pints 1 Gallon = 4 Quarts; 1 Gallon = 4 Quarts; 1 Gallon = 2 Half gallons1 Gallon = 2 Half gallons

1 Gallon = 1 Gallon1 Gallon = 1 Gallon EXAMPLE: EXAMPLE: There are 8 pints in 1 gallonThere are 8 pints in 1 gallon; ; we have 1 ½ we have 1 ½

gallons gallons Therefore: Therefore: # of Gallons we have# of Gallons we have x x # of pints in a gallon # of pints in a gallon = # of pints= # of pints OROR

1.5 (Gallons)1.5 (Gallons) x x 8 (Pints per gallon) 8 (Pints per gallon) = = 12 Pints12 Pints


Recipe ConversionsRecipe Conversions

Most Chefs will at one time or another look to cookbooks Most Chefs will at one time or another look to cookbooks or cooking magazines for inspiration and new ideas. or cooking magazines for inspiration and new ideas. Most recipes are written for from 6 to 8 portions. Rarely Most recipes are written for from 6 to 8 portions. Rarely in restaurants do we cook/prepare food for exactly 6/8 in restaurants do we cook/prepare food for exactly 6/8 people. people. One of the most used formulas in kitchens is the recipe One of the most used formulas in kitchens is the recipe conversion formulas. conversion formulas. FORMULA: FORMULA: New (unknown) Recipe Yield ÷New (unknown) Recipe Yield ÷Old (known) Recipe Old (known) Recipe YieldYield = Conversion Factor = Conversion Factor or C.F. or C.F.

ORORNew Recipe (Needed) New Recipe (Needed) = Recipe Conversion Factor= Recipe Conversion Factor

OLD RECIPE (Known) OLD RECIPE (Known)


Creating a Recipe Conversion Creating a Recipe Conversion Factor (C.F.)Factor (C.F.)

New Recipe (Needed) New Recipe (Needed) = Recipe Conversion Factor= Recipe Conversion Factor OLD RECIPE (Known) OLD RECIPE (Known)

EXAMPLE: EXAMPLE: You have a recipe that You have a recipe that makes 3- 10” pies makes 3- 10” pies (old/known yield)(old/known yield) and you need to and you need to make 12- make 12- 10”(new/unknown yield) pies10”(new/unknown yield) pies, and the portion size is the , and the portion size is the same for each (whole 10” pies) In this instance you are same for each (whole 10” pies) In this instance you are clearly going to need to make a larger batch, but how clearly going to need to make a larger batch, but how much larger? much larger? To create a conversion factor use the To create a conversion factor use the above formula.above formula.SOLUTION: SOLUTION:

12 pies (new Yield)12 pies (new Yield) ÷ ÷ 3 Pies (old Yield)3 Pies (old Yield) = = Conversion factor of 4 x’sConversion factor of 4 x’s


Using the Recipe Conversion Factor Using the Recipe Conversion Factor When Potion Size IS UnchangedWhen Potion Size IS Unchanged

When using the conversion factor you When using the conversion factor you ALWAYS MULTIPLY ALWAYS MULTIPLY ingredient amount x’s the conversion factor. It does not matter if you ingredient amount x’s the conversion factor. It does not matter if you need to make a larger recipe or a smaller recipe.need to make a larger recipe or a smaller recipe.Formula: Formula: Ingredient AmountIngredient Amount x C.F.= New Ingredient Amount x C.F.= New Ingredient Amount

SOLUTION: SOLUTION: 3 pie shells 3 pie shells x x 4 = 4 = 12 pie shells12 pie shells4 # Granny Smith Apples 4 # Granny Smith Apples x x 4 = 4 = 16 #’s of apples16 #’s of apples2 Tbs. flour2 Tbs. flour xx 4 = 4 = 8 Tbs. flour ( 1/2 cup)8 Tbs. flour ( 1/2 cup)4 Tbs. sugar4 Tbs. sugar xx 4 = 4 = 16 Tbs. sugar (1 cup)16 Tbs. sugar (1 cup)1 teaspoon cinnamon1 teaspoon cinnamon x x 4 = 4 = 4 tsp. cinnamon(1 Tbs. + 4 tsp. cinnamon(1 Tbs. +

1 tsp)1 tsp)


Using the C.F to make a smaller Using the C.F to make a smaller amountamount

Some times the recipe may be larger than what you need to make. Some times the recipe may be larger than what you need to make. You need to make the recipe smaller. You have a You need to make the recipe smaller. You have a recipe that makes recipe that makes 10- 10” pies (old yield)10- 10” pies (old yield) and you want to and you want to make 4- 10” pies (new make 4- 10” pies (new yield).yield). YOU USE THE SAME FORMULA THE SAME WAYYOU USE THE SAME FORMULA THE SAME WAY

Problem:Problem:

You have a recipe that makes You have a recipe that makes 10- 10” pies (old yield)10- 10” pies (old yield) and you want to make and you want to make 4- 10” pies (new yield). 4- 10” pies (new yield).

SolutionSolution

4 pies (new yield)4 pies (new yield) ÷ ÷ 10 pies (old yield)10 pies (old yield) = = C.F. of .4 x’s.C.F. of .4 x’s.


Reducing a Recipe YieldReducing a Recipe Yield

Using the conversion factor: Using the conversion factor: When using the conversion factor When using the conversion factor you you ALWAYS MULTIPLYALWAYS MULTIPLY ingredient amount x’s the conversion ingredient amount x’s the conversion factor, factor, even when you are reducing the size of the recipe.even when you are reducing the size of the recipe.

RULE:RULE: When you multiply a number by a number smaller than 1 (one) When you multiply a number by a number smaller than 1 (one)

you reduce the size of the numberyou reduce the size of the number.. SOLUTION:SOLUTION:

10 pie shells 10 pie shells x x .4.4 = = 4 pie shells4 pie shells

12 # Granny Smith Apples 12 # Granny Smith Apples x x .4.4 = 4.8 #’s of apples = 4.8 #’s of apples

6 Tbs. flour6 Tbs. flour xx .4 .4 = 2.4 Tbs. flour = 2.4 Tbs. flour

12 Tbs. sugar12 Tbs. sugar xx .4.4 = 4.8 Tbs. sugar = 4.8 Tbs. sugar

3 teaspoon cinnamon3 teaspoon cinnamon x x .4.4 = 1.2 tsp. cinnamon = 1.2 tsp. cinnamon


When Recipe Portion Sizes Are When Recipe Portion Sizes Are Different Different

EXAMPLE: EXAMPLE: You have a recipe for lasagna that You have a recipe for lasagna that you use at lunch for lasagna that you use at lunch for lasagna that makes 12 makes 12 portions that are 8 ozportions that are 8 oz. @. You need to convert it . @. You need to convert it for a dinner recipe that is one for for a dinner recipe that is one for 86 people and 86 people and @ portion is going to be 12 oz. @ portion is going to be 12 oz.

You still use the same conversion factor formula You still use the same conversion factor formula and find it the same wayand find it the same way

FORMULA: FORMULA: New YieldNew Yield ÷ ÷Old YieldOld Yield = = Conversion Conversion factorfactor


Recipes w/ Different Portions- Recipes w/ Different Portions- continued continued

Just substitute the Numbers for tehe Just substitute the Numbers for tehe corresponding termcorresponding term

(86 portions x 12 oz)(86 portions x 12 oz) x x (12 portions x 8 (12 portions x 8 oz.)oz.) = = Conversion FactorConversion Factor

1032 oz.1032 oz. ÷ ÷ 96 oz.96 oz. = = 10.75 C.F.10.75 C.F.To create the new recipe yield, multiply @ To create the new recipe yield, multiply @ ingredient x’s the 10.75 conversion factor.ingredient x’s the 10.75 conversion factor.


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Volume & weight (mass) conversions