Solve 83/5-53/7=

$$8 \frac { 3 } { 5 } - 5 \frac { 3 } { 7 } =$$

Evaluate

$$\frac{111}{35}\approx 3.171428571$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+3}{5}-\frac{5\times 7+3}{7}$$

Add 40 and 3 to get 43.

$$\frac{43}{5}-\frac{5\times 7+3}{7}$$

Multiply 5 and 7 to get 35.

$$\frac{43}{5}-\frac{35+3}{7}$$

Add 35 and 3 to get 38.

$$\frac{43}{5}-\frac{38}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{43}{5} and \frac{38}{7} to fractions with denominator 35.

$$\frac{301}{35}-\frac{190}{35}$$

Since \frac{301}{35} and \frac{190}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{301-190}{35}$$

Subtract 190 from 301 to get 111.

$$\frac{111}{35}$$

Factor

$$\frac{3 \cdot 37}{5 \cdot 7} = 3\frac{6}{35} = 3.1714285714285713$$