(-36 4/9) - (-10 2/9) - (18 2/9) solve

Mathematics

1 answer:

PSYCHO15rus [73]4 years ago

6 0

Convert 36 4/9 to an improper fraction. Use this rule: a b/c = ac + b/c

-36 × 9 + 4/9 - (-10 2/9) - 18 2/9

Simplify 36 × 9 to 324

- 324 + 4/9 - (-10 2/9) - 18 2/9

Simplify 324 + 4 to 328

- 328/9 - (-10 2/9) - 18 2/9

Convert 10 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.

-328/9 - (- 10 × 9 + 2/9) - 18 2/9

Simplify 10 × 9 to 90

-328/9 - (- 90 + 2/9) - 18 2/9

Simplify 90 + 2 to 92

- 328/9 - (-92/9) - 18 2/9

Convert 18 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.

-328/9 - (- 92/9) - 18 × 9 + 2/9

Simplify 18 × 9 to 162

-328/9 - (- 92/2) - 162 + 2/9

Simplify 162 + 2 to 164

-328/9 - (- 92/9) - 164/9

Simplify brackets

-328/9 + 92/9 - 164/9

Join the denominators

-328 + 92 - 164/9

Simplify

-400/9

Convert to a mixed fraction

$-44\frac{4}{9}$

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