Question

A piece of wire 3 3/4
metre long broke into two pieces .One piece is 1 1/2
m long.How long is the other piece.

Answer 1

Answer:

9/4 m or 21/4m

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Answer 2

Given:

The length of a piece of wire is equal to $3\frac{3}{4}$ meters. It is cut into two pieces. The length of one piece is equal to $1\frac{1}{2}$ meters.

To Find:

The length of the other piece.

Solution:

If the length of one piece is subtracted from the total length then the length of the other piece can be found.

Subtract  $1\frac{1}{2}$ meters from $3\frac{3}{4}$ meters.

$3\frac{3}{4} -1\frac{1}{2}=\frac{15}{4}-\frac{3}{2}$

The arithmetic operations such as addition and subtraction are always performed between fractions is their denominators are the same. So, if the denominator is not the same then they are made the same with the help of LCM. The LCM of 2 and 4 is 4. Convert the fractions into like terms and then subtract.

$\frac{15}{4}-\frac{6}{4}=\frac{9}{4}$

Thus, the length of the other piece is $\frac{9}{4}$.