Solve 43/8-21/3=

$$4 \frac { 3 } { 8 } - 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{49}{24}\approx 2.041666667$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+3}{8}-\frac{2\times 3+1}{3}$$

Add 32 and 3 to get 35.

$$\frac{35}{8}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{35}{8}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{35}{8}-\frac{7}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{35}{8} and \frac{7}{3} to fractions with denominator 24.

$$\frac{105}{24}-\frac{56}{24}$$

Since \frac{105}{24} and \frac{56}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-56}{24}$$

Subtract 56 from 105 to get 49.

$$\frac{49}{24}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 3} = 2\frac{1}{24} = 2.0416666666666665$$