Solve 5/64+6/4-4/32+3/8-frac{6}{16}

$$\frac{ 5 }{ 64 } + \frac{ 6 }{ 4 } - \frac{ 4 }{ 32 } + \frac{ 3 }{ 8 } - \frac{ 6 }{ 16 }$$

Evaluate

$$\frac{93}{64}=1.453125$$

Solution Steps

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

$$\frac{5}{64}+\frac{3}{2}-\frac{4}{32}+\frac{3}{8}-\frac{6}{16}$$

Least common multiple of 64 and 2 is 64. Convert \frac{5}{64} and \frac{3}{2} to fractions with denominator 64.

$$\frac{5}{64}+\frac{96}{64}-\frac{4}{32}+\frac{3}{8}-\frac{6}{16}$$

Since \frac{5}{64} and \frac{96}{64} have the same denominator, add them by adding their numerators.

$$\frac{5+96}{64}-\frac{4}{32}+\frac{3}{8}-\frac{6}{16}$$

Add 5 and 96 to get 101.

$$\frac{101}{64}-\frac{4}{32}+\frac{3}{8}-\frac{6}{16}$$

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$\frac{101}{64}-\frac{1}{8}+\frac{3}{8}-\frac{6}{16}$$

Least common multiple of 64 and 8 is 64. Convert \frac{101}{64} and \frac{1}{8} to fractions with denominator 64.

$$\frac{101}{64}-\frac{8}{64}+\frac{3}{8}-\frac{6}{16}$$

Since \frac{101}{64} and \frac{8}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{101-8}{64}+\frac{3}{8}-\frac{6}{16}$$

Subtract 8 from 101 to get 93.

$$\frac{93}{64}+\frac{3}{8}-\frac{6}{16}$$

Least common multiple of 64 and 8 is 64. Convert \frac{93}{64} and \frac{3}{8} to fractions with denominator 64.

$$\frac{93}{64}+\frac{24}{64}-\frac{6}{16}$$

Since \frac{93}{64} and \frac{24}{64} have the same denominator, add them by adding their numerators.

$$\frac{93+24}{64}-\frac{6}{16}$$

Add 93 and 24 to get 117.

$$\frac{117}{64}-\frac{6}{16}$$

Reduce the fraction \frac{6}{16} to lowest terms by extracting and canceling out 2.

$$\frac{117}{64}-\frac{3}{8}$$

Least common multiple of 64 and 8 is 64. Convert \frac{117}{64} and \frac{3}{8} to fractions with denominator 64.

$$\frac{117}{64}-\frac{24}{64}$$

Since \frac{117}{64} and \frac{24}{64} have the same denominator, subtract them by subtracting their numerators.

$$\frac{117-24}{64}$$

Subtract 24 from 117 to get 93.

$$\frac{93}{64}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {6}} = 1\frac{29}{64} = 1.453125$$