Question

Simplify:
$7 \frac{5}{6} - 4 \frac{3}{8} + 2 \frac{7}{12}$
Answer with solution​

Answer 1

$\huge\underline\mathtt\blue{Answer\:}$

$\bf \red{7 \frac{5}{6} - 4\frac{3}{8} + 2\frac{7}{12} }$

Convert these mixed fractions into improper fraction.

$\bf\red{ 7\frac{5}{6} = }{ \frac{7 \times 6 + 5}{6} = \frac{47}{6} }$

$\bf \red{ 4\frac{3}{8} = }{ \frac{4 \times 8 + 3}{8} = \frac{35}{8} }$

$\bf \red{ 2\frac{7}{12} = }{ \frac{2 \times 12 + 7}{12} = \frac{31}{12} }$

Now take L.C.M. to amke the denominators same.

L.C.M. of 6,8 and 12=2×2×2×3=24

______________________

$\bf{ = > \frac{47}{6} \times \frac{4}{4} = \frac{188}{24}}$

$\bf{ = > \frac{35}{8} \times \frac{3}{3} = \frac{105}{24} }$

$\bf{ = > \frac{31}{12} \times \frac{2}{2} = \frac{62}{24} }$

$\bf{ \frac{(188 - 105 + 62)}{24} = \frac{145}{24} }$

$\bf{ \frac{145}{24} = 6\frac{1}{24} }$

$\large\mathtt\red{❥Hope \: it \: helps \: you....\:}$