Solve 43/8-37/4+111/7

$$4 \frac { 3 } { 8 } - 3 \frac { 7 } { 4 } + 1 \frac { 11 } { 7 }$$

Evaluate

$$\frac{123}{56}\approx 2.196428571$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}-\frac{3\times 4+7}{4}+\frac{1\times 7+11}{7}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}-\frac{3\times 4+7}{4}+\frac{1\times 7+11}{7}$$

Multiply 3 and 4 to get 12.

$$\frac{35}{8}-\frac{12+7}{4}+\frac{1\times 7+11}{7}$$

Add 12 and 7 to get 19.

$$\frac{35}{8}-\frac{19}{4}+\frac{1\times 7+11}{7}$$

Least common multiple of 8 and 4 is 8. Convert \frac{35}{8} and \frac{19}{4} to fractions with denominator 8.

$$\frac{35}{8}-\frac{38}{8}+\frac{1\times 7+11}{7}$$

Since \frac{35}{8} and \frac{38}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-38}{8}+\frac{1\times 7+11}{7}$$

Subtract 38 from 35 to get -3.

$$-\frac{3}{8}+\frac{1\times 7+11}{7}$$

Multiply 1 and 7 to get 7.

$$-\frac{3}{8}+\frac{7+11}{7}$$

Add 7 and 11 to get 18.

$$-\frac{3}{8}+\frac{18}{7}$$

Least common multiple of 8 and 7 is 56. Convert -\frac{3}{8} and \frac{18}{7} to fractions with denominator 56.

$$-\frac{21}{56}+\frac{144}{56}$$

Since -\frac{21}{56} and \frac{144}{56} have the same denominator, add them by adding their numerators.

$$\frac{-21+144}{56}$$

Add -21 and 144 to get 123.

$$\frac{123}{56}$$

Factor

$$\frac{3 \cdot 41}{2 ^ {3} \cdot 7} = 2\frac{11}{56} = 2.1964285714285716$$