Question

3 5/6= 1 2/3+ H. Substitute 2 1/6 for H

Answer 1

$\mathrm{H}=2 \frac{1}{6}$ is correct value of expression $3 \frac{5}{6}=1 \frac{2}{3}+\mathrm{H}$

Solution:

Given expression is $3 \frac{5}{6}=1 \frac{2}{3}+\mathrm{H}$

We have to substitute $2\frac{1}{6}$ for H

We have to substitute the value into the given expression and determine whether the given value of "H" makes the sentence true

On substituting given value of H in equation (1) and solving Right Hand Side, we get,

$1 \frac{2}{3}+2 \frac{1}{6}$

Now let us convert the mixed fractions,

$1 \frac{2}{3}+2 \frac{1}{6}=\frac{3 \times 1+2}{3}+\frac{6 \times 2+1}{6}=\frac{5}{3}+\frac{13}{6}$

On solving we get,

$\frac{5}{3}+\frac{13}{6}=\frac{10+13}{6}=\frac{23}{6}$

Thus we have solved R.H.S and got the value $\frac{23}{6}$

Now let us solve L.H.S of expression,

$3 \frac{5}{6}=\frac{6 \times 3+5}{6}=\frac{18+5}{6}=\frac{23}{6}$

Thus L.H.S and R.H.S are equal

Thus given "H" = $2\frac{1}{6}$ makes the expression true