Question

Tina cut 3 wood boards each into 4 equal pieces she used 3 of the pieces for a craft. What fraction of the boards does she have left Write this fraction as a mixed number

Answer 1

Answer:

$2\frac{1}{4}$.

Step-by-step explanation:

Given:

Tina cut 3 wood boards each into 4 equal pieces.

She used 3 of the pieces for a craft.

Question asked:

What fraction of the boards does she have left ?

Write this fraction as a mixed number.

Solution:

As she cuts 3 wood board each into 4 equal pieces :-

Total number of equal pieces = $3\times4=12\ pieces$

Pieces of wood used = 3

Remaining pieces = 12 - 3 = 9

Now, we will write these 9 pieces in terms of number of wood boards.

By unitary method:

4 pieces constitute = 1 wood board

1 piece constitute = $\frac{1}{4} \ wood\ board$

9  pieces constitute = $\frac{1}{4} \times9=\frac{9}{4} \ wood\ board$

Now, convert it into mixed fraction:

$\frac{9}{4} =2\frac{1}{4} \ wood\ board$

Therefore, fraction of the boards she have left is $2\frac{1}{4}$.