Question

You work as a tailor. You are provided with 5 3/4 yards of cloth for making curtains. You use 4 1/4 yards of cloth for that purpose.

How many yards of cloth remain?

Answer 1

Answer:

The number of yards of cloth remaining = $1\frac{1}{2}$

Step-by-step explanation:

Given:

Length of cloth provided for making curtains = $5\frac{3}{4}$ yards

Length of cloth used in making curtains = $4\frac{1}{4}$ yards

To find the amount of cloth remaining.

Solution:

In order to find out the cloth left over after making curtains, we will subtract the amount of cloth used for making curtains from the total cloth provided.

Thus, amount of cloth remaining can be given as:

⇒ Total yards of cloth provided - yards of cloth used

⇒ $5\frac{3}{4}-4\frac{1}{4}$

In order to subtract mixed numbers, we will subtract the whole numbers and fractions separately.

⇒ $5-4+\frac{3}{4}-\frac{1}{4}$

⇒  $1+\frac{3}{4}-\frac{1}{4}$

Since denominators of fraction is same, so we can simply subtract the numerators.

⇒ $1+\frac{3-1}{4}$

⇒ $1+\frac{2}{4}$

$\frac{2}{4}$ can be reduced to simple fraction by dividing the numerator and denominator by 2.

⇒ $1+\frac{2\div 2}{4\div 2}$

⇒  $1+\frac{1}{2}$

⇒ $1\frac{1}{2}$

Thus, number of yards of cloth remaining = $1\frac{1}{2}$