Express 56 as a product of its prime factors.

March 23, 2026Mathematics

ScanSolve AI Answer

March 23, 2026

Answer

$4 \frac{2}{3}$

Step 1: Convert the mixed numbers to improper fractions.

24 \frac{1}{2} = \frac{24 \times 2 + 1}{2} = \frac{49}{2}

5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4}

Step 2: Rewrite the division as multiplication by the reciprocal.

24 \frac{1}{2} \div 5 \frac{1}{4} = \frac{49}{2} \div \frac{21}{4} = \frac{49}{2} \times \frac{4}{21}

Step 3: Multiply the fractions.

\frac{49}{2} \times \frac{4}{21} = \frac{49 \times 4}{2 \times 21} = \frac{196}{42}

Step 4: Simplify the fraction $\frac{196}{42}$ .

Divide numerator and denominator by 14:

\frac{196 \div 14}{42 \div 14} = \frac{14}{3}

Step 5: Convert $\frac{14}{3}$ to a mixed number.

\frac{14}{3} = 4 \frac{2}{3}

$\boxed{4 \frac{2}{3}}$

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Convert the mixed numbers to improper fractions. 24 (1)/(2) = (24 × 2 + 1)/(2) = (49)/(2) 5 (1)/(4) = (5 × 4 + 1)/(4) = (21)/(4) Step 2: Rewrite the division as multiplication by the reciprocal.

Asked on March 23, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 23, 2026

Step 1: Convert the mixed numbers to improper fractions. 24 (1)/(2) = (24 × 2 + 1)/(2) = (49)/(2) 5 (1)/(4) = (5 × 4 + 1)/(4) = (21)/(4) Step 2: Rewrite the division as multiplication by the reciprocal. 24 (1)/(2) ÷ 5 (1)/(4) = (49)/(2) ÷ (21)/(4) = (49)/(2) × (4)/(21) Step 3: Multiply the fractions. (49)/(2) × (4)/(21) = (49 × 4)/(2 × 21) = (196)/(42) Step 4: Simplify the fraction (196)/(42). Divide numerator and denominator by 14: (196 ÷ 14)/(42 ÷ 14) = (14)/(3) Step 5: Convert (14)/(3) to a mixed number. (14)/(3) = 4 (2)/(3) 4 (2)/(3)