Solve 127/64-5/8+3/42

$$\frac{ 127 }{ 64 } - \frac{ 5 }{ 8 } + \frac{ 3 }{ 4 } 2$$

Evaluate

$$\frac{183}{64}=2.859375$$

Solution Steps

Least common multiple of 64 and 8 is 64. Convert \frac{127}{64} and \frac{5}{8} to fractions with denominator 64.

$$\frac{127}{64}-\frac{40}{64}+\frac{3}{4}\times 2$$

Since \frac{127}{64} and \frac{40}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{127-40}{64}+\frac{3}{4}\times 2$$

Subtract 40 from 127 to get 87.

$$\frac{87}{64}+\frac{3}{4}\times 2$$

Express \frac{3}{4}\times 2 as a single fraction.

$$\frac{87}{64}+\frac{3\times 2}{4}$$

Multiply 3 and 2 to get 6.

$$\frac{87}{64}+\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{87}{64}+\frac{3}{2}$$

Least common multiple of 64 and 2 is 64. Convert \frac{87}{64} and \frac{3}{2} to fractions with denominator 64.

$$\frac{87}{64}+\frac{96}{64}$$

Since \frac{87}{64} and \frac{96}{64} have the same denominator, add them by adding their numerators.

$$\frac{87+96}{64}$$

Add 87 and 96 to get 183.

$$\frac{183}{64}$$

Factor

$$\frac{3 \cdot 61}{2 ^ {6}} = 2\frac{55}{64} = 2.859375$$