Convert 5 7/8 to an improper fraction. Use this rule: a b/c = ac + b/c
5 × 8 + 7/8 × 2 4/5 ÷ 7
Simplify 5 × 8 to 40
40 + 7/8 × 2 4/5 ÷ 7
Simplify 40 + 7 to 47
47/8 × 2 4/5 ÷ 7
Convert 2 4/5 to an improper fraction using the same rule from the previous step.
47/8 × 2 × 5 + 4/5 ÷ 7
Simplify 2 × 5 to 10
47/8 × 10 + 4/5 ÷ 7
Simplify 10 + 4 to 14
47/8 × 14/5 ÷ 7
Use this rule: a ÷ b/c = a × c/b
47/8 × 14/5 × 1/7
Proceed to use this rule: a/b × c/d = ac/bd
658/8 × 5 × 7
Simplify 8 × 5 × 7 to 280
658/280
Simplify
47/20
Convert to mixed fraction
[tex]2\frac{7}{20}[/tex]
