Question

please solve thisquestion of fractions please answer it sensitively and step by step explanation written over a copy no spams ​

Answer 1

$\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}$

Let the length of the peice of another wire be $x$

Then, according to the question,

$2\frac{3}{2} = \frac{5}{8} + x \\ = > \frac{7}{2} = \frac{5}{8} + (\frac{x}{1} \times \frac{8}{8})\\ = > \frac{7}{2} = \frac{5 + 8x}{8}$

By Cross Multiplication Method,

$7 \times 8 = 2(5 + 8x) \\ = > 56 = 10 + 16x \\ = > 56 - 10 = 16x \\ = > 46 = 16x \\ = > x = \frac{46}{16}$

$x = \frac{23}{8}$ or $2\frac{7}{8}$

Hence the lenght of piece of another wire is $x = \frac{23}{8}m$ or $2\frac{7}{8}m$