Question

A bamboo of length $2\frac{3}{4}$ metre broke into two pieces. One piece was $\frac{7}{8}$metre long. How long is the other piece?

Answer 1

Step 1:-Write the unknown and given values

Length of bamboo$=$$2\frac{3}{4}$$=\frac{11}{4}$

One piece$=\frac{7}{8}$

Let the other piece be $\mathrm{x}$.

Step 2:- Form the equation

$\frac{7}{8}+\mathrm{x}=\frac{11}{4}$

$\mathrm{x}=\frac{11}{4}-\frac{7}{8}$ (LCM of $4$ and $8$ is $8$)

$\mathrm{x}=\frac{11\times 2-7}{8}$

$\mathrm{x}=\frac{22-7}{8}$

$\mathrm{x}=\frac{15}{8}$

Step 3:- Convert the improper fraction into the proper fraction

$\frac{15}{8}=1\frac{7}{8}$

Hence, $1\frac{7}{8}$ is the required solution.