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Question

A piece of rod $$\displaystyle\frac{7}{8}$$ metre long is broke into two pieces. One piece was $$\displaystyle\frac{1}{4}$$ metre long. How long is the other piece?


Solution

Length of wire $$= \dfrac{7}{8}$$meters

after break , length of one piece 

of wire $$= \dfrac{1}{4}$$ meters

second is $$= x$$

so, $$\dfrac{1}{4}+x=\dfrac{7}{8}$$

$$\dfrac{1+4x}{4}=\dfrac{7}{8}$$

$$x$$ $$= \dfrac{5}{8}$$

$$\dfrac{1}{4}+\dfrac{5}{8}=\dfrac{7}{8}$$

$$\dfrac{7}{8}=\dfrac{7}{8}$$

Mathematics
NCERT
Standard VI

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