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Whole Numbers
1. Add 666+434+204+989= 666
434204989
2,293
2. Subtract 847 from 9321= 9,321 - 847 8,474
3. Multiply 784 by 13 = 784 Χ 13 2352 784 10,192
4. Divide 3172 by 152 = 21 20.86 152 3172.00 304 132.0 1216 1040 912 120
Fractions: Addition
5. Add 3/8 + 5/8 + 7/8 = 3/8
5/8
7/8
15/8 = 1 7/8
(Common Denominators)
6. Add 10 9/16 + 4 1/8 + 2 1/2 + 3 = 10 9/16 = 9/16
4 1/8 = 2/16
2 1/2 = 8/16
3
19 19/16 = 20 3/16
(Uncommon Denominators)
Fractions: Subtraction
7. Subtract 17/8 from 2 3/8 = 2 3/8 = 1 11/8
- 1 7/8 = 1 7/8
0 4/8 = 1/2
(Common Denominators)
8. Subtract 713/16 from 101/4 = 10 1/4 = 9 20/16
- 7 13/16 = 7 13/16
2 7/16
(Uncommon Denominators)
Fractions: Multiplication
9. Multiply 7/8 by 3/4 = 7/8 x 3/4 = 21/32
(Numerator x Numerator)
(Denominator x Denominator)
10. Multiply 11/2 x 11/2 x 11/2 = 3/2 x 3/2 = 9/4 x 3/2 = 27/8
= 3 3/8
Or
3 x 3 x 3 27 = = 3 3/8 2 x 2 x 2 8
Fractions: Division
11. 21 ÷ 1/4 = (invert the divisor and multiply)
21/1 x 4/1 = 84/1 = 84
12. 1/4 ÷ 21 =(invert the divisor and multiply)
1/4 x 1/21 = 1/84
13. 3 1/16 ÷ 1/4 =(invert the divisor and multiply)
3 1/16 = 49/16 therefore 49/16 x 4/1 = 196/16 (12 x 16 = 192) = 12 4/16
= 12 1/4Or
3 ÷ 1/4 = 3/1 x 4/1 = 12/1 1/16 ÷ 1/4 = 1/16 x 4/1 = 4/16
Therefore 12/1 + 4/16 = 12 4/16
= 12 1/4
Decimals: Addition & Subtraction
14. Add 244.05 + 43.1 + 7.982 + 22 = 244.05
43.1 7.982 (When adding numbers, align the decimals)
22.000
317.132
15. Subtract 783.21 from 897.37 = 897.37
- 783.21 (When subtracting numbers, align the decimals)
114.16
Decimals: Multiplication
16. Multiply 1125 x 1.5 = 1125 x 1.5
5625 1125
1687.5
17. Multiply 1.321 x 2.51 = 1.321 x 2.51 1321 6605 2642
3.31571
Decimals: Division
18. Divide 326.16 by 72 = 4.53 72 326.16 288 381 360 216 216
19. Divide 39.375 by 4.375 = 9.
4.375 . 39.375.
20. Divide .133 by .7 =
.19 .7. .1.33 7 63 63
Conversions: Fractions to Decimals
21. Convert 3/8 inch to a decimal = .375 inches
3 ÷ 8 = .375Or
1/2” = .50”1/4” = .25”
1/8” = .125”1/16” = .0625”
So
.25” + .125” = .375”
22. Convert 1 3/4 inch to a decimal = 1.75 inches
3 ÷ 4 = .75 therefore 1 + .75 = 1.75
Or
1/2” = .50”
1/4” = .25”
1/8” = .125”
So
1” + .50” + .25” = 1.75”
Conversions: Decimals to Fractions
23. Convert 1.125 inches to a common fraction =1.125” = 1 125/1000”
Or1/2” = .50”1/4” = .25”
1/8” = .125”1/16” = .0625”
So
1” + .125” = 1 1/8”
24. Convert 2.625 inches to a common fraction =2.625” = 2 625/1000”
Or1/2” = .50”1/4” = .25”
1/8” = .125”1/16” = .0625”
So
2” + .50” + .125” = 2 5/8”