Use prime factorization to reduce the fraction to lowest terms. Show your work. 72/168 8. Reduce before...

Question

7. Use prime factorization to reduce the fraction to lowest terms. Show your work.
72/168
8. Reduce before multiplying. Show your cancellations.
51/49 * 35/21
9. Factor and reduce before multiplying. Show your work.
54/35 * 70/81
10. Divide the fractions. Express each answer in lowest terms.
a) 7/8 ÷ 14/15
b) 9/10 ÷ 3/5
11. Solve the additional mixed-number and percentage problems.
a) 5 3/4 + 2 5/8
b) 62 1/2% - 17 1/2%

SnapAndSolve AI · Accepted Answer

To reduce 72/168 using prime factorization:

72 = 2^3 * 3^2

168 = 2^3 * 3 * 7

Cancel common factors: (2^3 * 3^2) / (2^3 * 3 * 7) = 3/7
Reduce before multiplying 51/49 * 35/21:

51 = 3 * 17, 49 = 7 * 7, 35 = 5 * 7, 21 = 3 * 7

Cancel common factors: (3 * 17)/(7 * 7) * (5 * 7)/(3 * 7) = 5/7
Factor and reduce 54/35 * 70/81:

54 = 2 * 3^3, 35 = 5 * 7, 70 = 2 * 5 * 7, 81 = 3^4

Cancel common factors: (2 * 3^3)/(5 * 7) * (2 * 5 * 7)/(3^4) = 4/9
Divide the fractions:
1. a) 7/8 ÷ 14/15 = 7/8 * 15/14 = 105/112
2. b) 9/10 ÷ 3/5 = 9/10 * 5/3 = 3/2
Solve the mixed-number and percentage problems:
1. a) 5 3/4 + 2 5/8 = 23/4 + 21/8 = 67/8 = 8 3/8
2. b) 62 1/2% - 17 1/2% = 62.5% - 17.5% = 45%

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Use prime factorization to reduce the fraction to lowest terms. Show your work. 72/168 8. Reduce before...

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