Pregunta
D) Divide. \( \frac{5}{8} \div 1 \frac{1}{4}=\square \) Submt
Ask by Savage Gibson. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
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The answer is \( \frac{1}{2} \).
Solución
We start by rewriting the mixed number as an improper fraction:
1 1/4 = 5/4
Now, the expression becomes:
(5/8) ÷ (5/4)
To divide by a fraction, multiply by its reciprocal:
(5/8) × (4/5)
Multiply the numerators and denominators:
(5 × 4) / (8 × 5) = 20/40
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (20):
20 ÷ 20 = 1 and 40 ÷ 20 = 2, which gives 1/2
So, the answer is:
1/2
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Simplifique esta solución Extra Insights
To divide \( \frac{5}{8} \) by \( 1 \frac{1}{4} \), first convert \( 1 \frac{1}{4} \) into an improper fraction. It becomes \( \frac{5}{4} \). Now, division by a fraction is the same as multiplying by its reciprocal. So, \( \frac{5}{8} \div \frac{5}{4} = \frac{5}{8} \times \frac{4}{5} \). The \( 5 \)s cancel out, leaving you with \( \frac{4}{8} \), which simplifies to \( \frac{1}{2} \). So, \( \frac{5}{8} \div 1 \frac{1}{4} = \frac{1}{2} \).
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