Solve 71/4-33/5=

$$7 \frac { 1 } { 4 } - 3 \frac { 3 } { 5 } =$$

Evaluate

$$\frac{73}{20}=3.65$$

Solution Steps

Multiply 7 and 4 to get 28.

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

Add 28 and 1 to get 29.

$$\frac{29}{4}-\frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{29}{4}-\frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{29}{4}-\frac{18}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{29}{4} and \frac{18}{5} to fractions with denominator 20.

$$\frac{145}{20}-\frac{72}{20}$$

Since \frac{145}{20} and \frac{72}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{145-72}{20}$$

Subtract 72 from 145 to get 73.

$$\frac{73}{20}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 5} = 3\frac{13}{20} = 3.65$$