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forsale [732]
4 years ago
7

3 3/4 divided by 12 1/2

Mathematics
1 answer:
notka56 [123]4 years ago
4 0

Answer:

\large\boxed{3\dfrac{3}{4}:12\dfrac{1}{2}=\dfrac{3}{10}}

Step-by-step explanation:

\text{Convert the mixed numbers to the improper fractions:}\\\\3\dfrac{3}{4}=\dfrac{(3)(4)+3}{4}=\dfrac{12+3}{4}=\dfrac{15}{4}\\\\12\dfrac{1}{2}=\dfrac{(12)(2)+1}{2}=\dfrac{24+1}{2}=\dfrac{25}{2}\\\\3\dfrac{3}{4}:12\dfrac{1}{2}=\dfrac{15}{4}:\dfrac{25}{2}\\\\\text{To divide a number by a fraction,}\\\text{multiply this number by the reciprocal of that fraction}:\\\\\dfrac{15}{4}\cdot\dfrac{2}{25}=\dfrac{30}{100}=\dfrac{3}{10}

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