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Mathematics

Divide :

131313\dfrac{1}{3} ÷ 10

Fractions

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Answer

We have:

=1313÷10=403÷10[Converting mixed to improper fraction]=403×110[Reciprocal of 10 is 110]=43×11[Simplifying 40 and 10 ⇒ Divide by 10]=4×13×1=43=113\begin{array}{ll} \phantom{=} 13\dfrac{1}{3} ÷ 10 \\ = \dfrac{40}{3} ÷ 10 & \text{[Converting mixed to improper fraction]} \\ = \dfrac{40}{3} \times \dfrac{1}{10} & [\text{Reciprocal of } 10 \text{ is } \dfrac{1}{10}] \\ = \dfrac{4}{3} \times \dfrac{1}{1} & \text{[Simplifying 40 and 10 ⇒ Divide by 10]} \\ = \dfrac{4 \times 1}{3 \times 1} \\ = \dfrac{4}{3} \\ = 1\dfrac{1}{3} \end{array}

∴ The answer is 1131\dfrac{1}{3}

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