Question

Solve 5 divided by 2 5/7

Answer 1

5 ÷ 2 * 7 + 5/7

Simplify 2 * 7 to 14

5 ÷ 14 + 5/7

Simplify 14 + 5 to 19

5 ÷ 19/7

Use this rule: a ÷ b/c = a * c/b

5 * 7/19

Simplify

35/19

Convert to a mixed fraction

= 1 16/19

Answer 2

`\large\boxed{1(16)/(19)}`

Explanation:

`5/2(5)/(7)\qquad\text{convert the mixed number to improper fraction}\\\\2(5)/(7)=(2\cdot7+5)/(7)=(19)/(7)\\\\=5/(19)/(7)=5\cdot(7)/(19)=((5)(7))/(19)=(35)/(19)=1(16)/(19)`