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

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

Evaluate

$$\frac{1628}{105}\approx 15.504761905$$

Solution Steps

Multiply 4 and 7 to get 28.

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

Add 28 and 4 to get 32.

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

Multiply 7 and 3 to get 21.

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

Add 21 and 1 to get 22.

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

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

$$\frac{96}{21}+\frac{154}{21}+\frac{3\times 5+3}{5}$$

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

$$\frac{96+154}{21}+\frac{3\times 5+3}{5}$$

Add 96 and 154 to get 250.

$$\frac{250}{21}+\frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{250}{21}+\frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{250}{21}+\frac{18}{5}$$

Least common multiple of 21 and 5 is 105. Convert \frac{250}{21} and \frac{18}{5} to fractions with denominator 105.

$$\frac{1250}{105}+\frac{378}{105}$$

Since \frac{1250}{105} and \frac{378}{105} have the same denominator, add them by adding their numerators.

$$\frac{1250+378}{105}$$

Add 1250 and 378 to get 1628.

$$\frac{1628}{105}$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 37}{3 \cdot 5 \cdot 7} = 15\frac{53}{105} = 15.504761904761905$$