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Use the order of operations to simplify the following expression. Express your answer in simplest form

1/6 + 3/4divided by 2/3
3/5
1 9/24
1 1/7
1 7/24

User Brennazoon
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Answer:

Explanation:

Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 = 8 1/ 6 = 8 · 6 + 1/ 6 = 48 + 1/ = 49/6 To find a new numerator: a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from the previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8 to a improper fraction: 1 7/8 = 1 7/8 = 1 · 8 + 7/8 = 8 + 7/8= 15/8 To find a new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8 b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8. One and seven eighths is fifteen eighthsDivide: 49/6: 15/8= 49/6· 8/15 = 49·\.8/6 · 15 = 392/90= 2 · 196/=2 · 45= 196/45 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 15/8 is 8/15) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 196/ 45. In other words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.

User Sarbo
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