A piece of wire 7 / 8 metre long broke into two pieces. One piece was 1 / 4 metre long. How long is the other piece?

Solution:

We will use the concepts of fractions to solve this.

Let us proceed to determine the length of the other pieces of wire.

Here, total length of wire is given as 7 / 8 metre and the length of one piece of wire is given as 1 / 4 metre

To find the length of the other piece we need to subtract length of one piece from the total length.

= 7 / 8 - 1 / 4

= [(7 × 1) - (1 × 2)] / 8

= (7 - 2) / 8

= 5 / 8

Therefore, the length of the other piece of wire is 5 / 8 m.

You can also use the Fraction Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.6 Question 6

A piece of wire 7 / 8 metre long broke into two pieces. One piece was 1 / 4 metre long. How long is the other piece?

Summary:

If a piece of wire 7 / 8 metre long broke into two pieces and one piece was 1 / 4 metre long, then the length of the other piece of wire is 5 / 8 m.

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