Solve 44/7+71/3+33/5

$$4 \frac { 4 } { 7 } + 7 \frac { 1 } { 3 } + 33 / 5$$

Evaluate

$$\frac{1943}{105}\approx 18.504761905$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+4}{7}+\frac{7\times 3+1}{3}+\frac{33}{5}$$

Add 28 and 4 to get 32.

$$\frac{32}{7}+\frac{7\times 3+1}{3}+\frac{33}{5}$$

Multiply 7 and 3 to get 21.

$$\frac{32}{7}+\frac{21+1}{3}+\frac{33}{5}$$

Add 21 and 1 to get 22.

$$\frac{32}{7}+\frac{22}{3}+\frac{33}{5}$$

Least common multiple of 7 and 3 is 21. Convert \frac{32}{7} and \frac{22}{3} to fractions with denominator 21.

$$\frac{96}{21}+\frac{154}{21}+\frac{33}{5}$$

Since \frac{96}{21} and \frac{154}{21} have the same denominator, add them by adding their numerators.

$$\frac{96+154}{21}+\frac{33}{5}$$

Add 96 and 154 to get 250.

$$\frac{250}{21}+\frac{33}{5}$$

Least common multiple of 21 and 5 is 105. Convert \frac{250}{21} and \frac{33}{5} to fractions with denominator 105.

$$\frac{1250}{105}+\frac{693}{105}$$

Since \frac{1250}{105} and \frac{693}{105} have the same denominator, add them by adding their numerators.

$$\frac{1250+693}{105}$$

Add 1250 and 693 to get 1943.

$$\frac{1943}{105}$$

Factor

$$\frac{29 \cdot 67}{3 \cdot 5 \cdot 7} = 18\frac{53}{105} = 18.504761904761907$$