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Mathematics

A bamboo of length 2342\dfrac{3}{4} metre broke into two pieces. One piece was 78\dfrac{7}{8} metre long. How long is the other piece?

Fractions

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Answer

Total length of bamboo = 2342\dfrac{3}{4} metre.

Length of one piece = 78\dfrac{7}{8} metre.

Length of other piece = 234−782\dfrac{3}{4} - \dfrac{7}{8}

LCM of 4 and 8 = 8.

⇒114−78⇒11×24×2−78⇒228−78⇒22−78⇒158⇒178 metre\Rightarrow \dfrac{11}{4} - \dfrac{7}{8}\\[1em] \Rightarrow \dfrac{11 \times 2}{4 \times 2} - \dfrac{7}{8}\\[1em] \Rightarrow \dfrac{22}{8} - \dfrac{7}{8}\\[1em] \Rightarrow \dfrac{22 - 7}{8}\\[1em] \Rightarrow \dfrac{15}{8}\\[1em] \Rightarrow 1\dfrac{7}{8} \text{ metre}

Hence, the length of the other piece = 1781\dfrac{7}{8} metre.

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