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9. julian has 3 - 1/2 assignments to finish by thursday. how much does …

Question

  1. julian has 3 - 1/2 assignments to finish by thursday. how much does he have left to complete, if he completed 4/5 on tuesday?

options: -3/2, 4/5, 7/10, 17/2, 2/5

Explanation:

Step1: Convert mixed - number to improper fraction

$3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}$

Step2: Subtract the fraction completed from the total

We need to find $\frac{7}{2}-\frac{4}{5}$. First, find a common denominator. The common denominator of 2 and 5 is 10.
$\frac{7}{2}=\frac{7\times5}{2\times5}=\frac{35}{10}$ and $\frac{4}{5}=\frac{4\times2}{5\times2}=\frac{8}{10}$
Then $\frac{35}{10}-\frac{8}{10}=\frac{35 - 8}{10}=\frac{27}{10}=2\frac{7}{10}$

Answer:

$2\frac{7}{10}$