Question

a wall 7 1/5 m in height is being built after one day the masons had built 7/9 of the wall what height of the wall is yet to be built

Answer 1

Answer:

The height of wall still left to build = 1-7/9 ! 9-7/9 = 2/9 of total

then in m it will be

2/9 ×36/5 = 1.6 m is still left.

Hope it helps

Answer 2

Given:

$\text{Height of the wall }= 7\dfrac{1}{5} \text { m}$

$\text {Fraction of the wall that has been built} = \dfrac{7}{9}$

To Find:

$\text{The height of the wall that has yet to be built}$

Explanation:

Note that both numerals given in this question are fractions. But both fractions convey very different meaning. First is the height of the wall, which is a measurement of the wall. The other is a part of wall, which is a fraction of the wall.

Solution:

Find the height of the wall that has been built:

Note that to multiply both fractions, we have to change the mixed number to improper fraction.

$\text{Height of the wall that has been built} = \dfrac{7}{9} \times 7\dfrac{1}{5}$

$\text{Height of the wall that has been built} = \dfrac{7}{9} \times \dfrac{36}{5}$

$\text{Height of the wall that has been built} = \dfrac{28}{5}$

$\text{Height of the wall that has been built} = 5\dfrac{3}{5} \text { m}$

Find the height of the wall that has yet to be built:

For subtraction of fractions, we have to make sure that both denominators are the same.

$\text{Height of the wall that is yet to be built} = 7\dfrac{1}{5} - 5\dfrac{3}{5}$

$\text{Height of the wall that is yet to be built} = 6\dfrac{6}{5} - 5\dfrac{3}{5}$

$\text{Height of the wall that is yet to be built} = 1\dfrac{3}{5} \text { m}$

$\boxed {\boxed {\textbf{Answer } =1\dfrac{3}{5} \text{ m}}}$