Solve 753/4-48/9=

$$75 \frac { 3 } { 4 } - 4 \frac { 8 } { 9 } =$$

Evaluate

$$\frac{2551}{36}\approx 70.861111111$$

Solution Steps

Multiply 75 and 4 to get 300.

$$\frac{300+3}{4}-\frac{4\times 9+8}{9}$$

Add 300 and 3 to get 303.

$$\frac{303}{4}-\frac{4\times 9+8}{9}$$

Multiply 4 and 9 to get 36.

$$\frac{303}{4}-\frac{36+8}{9}$$

Add 36 and 8 to get 44.

$$\frac{303}{4}-\frac{44}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{303}{4} and \frac{44}{9} to fractions with denominator 36.

$$\frac{2727}{36}-\frac{176}{36}$$

Since \frac{2727}{36} and \frac{176}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2727-176}{36}$$

Subtract 176 from 2727 to get 2551.

$$\frac{2551}{36}$$

Factor

$$\frac{2551}{2 ^ {2} \cdot 3 ^ {2}} = 70\frac{31}{36} = 70.86111111111111$$