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Mathematics

The product of two numbers is 15.275. If one number is 4.7, find the other.

Decimals

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Answer

Product of the two numbers = 15.275

One number = 4.7

The other number = 15.2754.7\dfrac{15.275}{4.7}

Multiplying both the numerator and denominator by 10, we get:

The other number = 15.275×104.7×10=152.7547\dfrac{15.275 \times 10}{4.7 \times 10} = \dfrac{152.75}{47}

By actual division, we have:

47) 13.2547) 152.754714147))) 11747))) 94147))) 123547))) 23547) 152.7×\begin{array}{l} \phantom{47)\space 1}3.25 \ 47\overline{\smash{\big)}\space 152.75} \ \phantom{47}\underline{-141} \ \phantom{47)))\space }117 \ \phantom{47)))\space}\underline{-94\phantom{1}} \ \phantom{47)))\space 1}235 \ \phantom{47)))\space }\underline{-235} \ \phantom{47)\space 152.7}\times \end{array}

Hence, the other number is 3.25.

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