Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 258÷115322\frac{5}{8} \div 1\frac{15}{32}

Accepted Answer

First, convert the mixed numbers into improper fractions. For the first mixed number $$2\left(\frac{5}{8}ight)$$, multiply the whole number 2 by the denominator 8 and add the numerator 5: $$2 	imes 8 + 5 = 16 + 5 = 21. So$$, $$2\left(\frac{5}{8}ight) = \frac{21}{8}. $$Next, convert the second mixed number $$1\left(\frac{15}{32}ight)$$ into an improper fraction. Multiply the whole number 1 by the denominator 32 and add the numerator 15: $$1 	imes 32 + 15 = 32 + 15 = 47. So$$, $$1\left(\frac{15}{32}ight) = \frac{47}{32}. $$Now, rewrite the original expression as a division of two improper fractions: $$\frac{21}{8} \div \frac{47}{32}. To $$divide fractions, multiply the first fraction by the reciprocal of the second fraction: $$\frac{21}{8} 	imes \frac{32}{47}. $$Multiply the numerators together and the denominators together: numerator $$21 	imes 32$$, denominator $$8 	imes 47. $$Then simplify the resulting fraction by finding the greatest common divisor (GCD) and dividing numerator and denominator by it to write the answer in lowest terms.

Multiply or divide as indicated. Write answers in lowest terms as needed. $2 \frac{5}{8} \div 1 \frac{15}{32}$

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Mixed Numbers and Improper Fractions

Division of Fractions

Simplifying Fractions

Multiply or divide as indicated. Write answers in lowest terms as needed. 258÷115322\(\frac{5}{8}\) \(\div\) 1\(\frac{15}{32}\)