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Mathematics

Find the numbers p and q in: 58=20p=q104\dfrac{5}{8} = \dfrac{20}{p} = \dfrac{q}{104}

Fractions

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Answer

To find p:

58=20p\dfrac{5}{8} = \dfrac{20}{p}

To get 20 from 5, we have to multiply 5 by 4.

So, multiply both numerator and denominator by 4.

58=5×48×4=2032.\Rightarrow \dfrac{5}{8} = \dfrac{5 \times 4}{8 \times 4} = \dfrac{20}{32}.

So, p = 32.

To find q:

58=q104\dfrac{5}{8} = \dfrac{q}{104}

To get 104 from 8, we have to multiply 8 by 13.

So, multiply both numerator and denominator by 13.

58=5×138×13=65104.\Rightarrow \dfrac{5}{8} = \dfrac{5 \times 13}{8 \times 13} = \dfrac{65}{104}.

So, q = 65.

Hence, p = 32 and q = 65.

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