Subtract. Write your answer as a mixed number in simplest form.

Ask by Clarke Frazier. in the United States

Jan 23,2025

Question

Subtract. Write your answer as a mixed number in simplest form. $$ 5 \frac{4}{9}-4 \frac{1}{6} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 5\frac{4}{9}-4\frac{1}{6} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$5\frac{4}{9}-4\frac{1}{6}$$
- step1: Convert the expressions:
  $$\frac{49}{9}-\frac{25}{6}$$
- step2: Reduce fractions to a common denominator:
  $$\frac{49	imes 2}{9	imes 2}-\frac{25	imes 3}{6	imes 3}$$
- step3: Multiply the numbers:
  $$\frac{49	imes 2}{18}-\frac{25	imes 3}{6	imes 3}$$
- step4: Multiply the numbers:
  $$\frac{49	imes 2}{18}-\frac{25	imes 3}{18}$$
- step5: Transform the expression:
  $$\frac{49	imes 2-25	imes 3}{18}$$
- step6: Multiply the numbers:
  $$\frac{98-25	imes 3}{18}$$
- step7: Multiply the numbers:
  $$\frac{98-75}{18}$$
- step8: Subtract the numbers:
  $$\frac{23}{18}$$
The result of subtracting $$5 \frac{4}{9}$$ from $$4 \frac{1}{6}$$ is $$1 \frac{5}{18}$$ or $$\frac{23}{18}$$ in mixed number form.
$$1 \frac{5}{18}$$

Subtract. Write your answer as a mixed number in simplest form.

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