Solve 53/8-21/3=

$$5 \frac { 3 } { 8 } - 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{73}{24}\approx 3.041666667$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}-\frac{2\times 3+1}{3}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{43}{8}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{43}{8}-\frac{7}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{43}{8} and \frac{7}{3} to fractions with denominator 24.

$$\frac{129}{24}-\frac{56}{24}$$

Since \frac{129}{24} and \frac{56}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{129-56}{24}$$

Subtract 56 from 129 to get 73.

$$\frac{73}{24}$$

Factor

$$\frac{73}{2 ^ {3} \cdot 3} = 3\frac{1}{24} = 3.0416666666666665$$