Subtract the following mixed numbers: a) 5 3/7 − 1 5/7 b) 13 1/5 − 11 4/5

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for the 'f)' problems.

f) (first one from your image)

Rewrite the first mixed number to allow for subtraction of the fractions.
Since $\frac{3}{7} < \frac{5}{7}$ , we borrow 1 from the whole number 5.
$5\frac{3}{7} = 4 + 1 + \frac{3}{7} = 4 + \frac{7}{7} + \frac{3}{7} = 4\frac{10}{7}$
Perform the subtraction using the rewritten mixed number.
$4\frac{10}{7} - 1\frac{5}{7} = (4-1) + \left(\frac{10}{7} - \frac{5}{7}\right)$
Subtract the whole numbers and the fractions.
$3 + \frac{10-5}{7} = 3 + \frac{5}{7}$
The difference is $\boxed{\mathbf{3\frac{5}{7}}}$ .

f) (second one from your image)
Rewrite the first mixed number to allow for subtraction of the fractions.
We need to subtract $\frac{4}{5}$ from $\frac{1}{5}$ . Since $\frac{1}{5} < \frac{4}{5}$ , we borrow 1 from the whole number 13.
$13\frac{1}{5} = 12 + 1 + \frac{1}{5} = 12 + \frac{5}{5} + \frac{1}{5} = 12\frac{6}{5}$
Perform the subtraction using the rewritten mixed number.
$12\frac{6}{5} - 11\frac{4}{5} = (12-11) + \left(\frac{6}{5} - \frac{4}{5}\right)$
Subtract the whole numbers and the fractions.
$1 + \frac{6-4}{5} = 1 + \frac{2}{5}$
The difference is $\boxed{\mathbf{1\frac{2}{5}}}$ .

Subtract the following mixed numbers: a) 5 (3)/(7) - 1 (5)/(7) b) 13 (1)/(5) - 11 (4)/(5)