Solve 12/64+9/24*9/8=

$$\frac { 12 } { 64 } + \frac { 9 } { 24 } \cdot \frac { 9 } { 8 } =$$

Evaluate

$$\frac{39}{64}=0.609375$$

Solution Steps

Reduce the fraction \frac{12}{64} to lowest terms by extracting and canceling out 4.

$$\frac{3}{16}+\frac{9}{24}\times \frac{9}{8}$$

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3}{16}+\frac{3}{8}\times \frac{9}{8}$$

Multiply \frac{3}{8} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{16}+\frac{3\times 9}{8\times 8}$$

Do the multiplications in the fraction \frac{3\times 9}{8\times 8}.

$$\frac{3}{16}+\frac{27}{64}$$

Least common multiple of 16 and 64 is 64. Convert \frac{3}{16} and \frac{27}{64} to fractions with denominator 64.

$$\frac{12}{64}+\frac{27}{64}$$

Since \frac{12}{64} and \frac{27}{64} have the same denominator, add them by adding their numerators.

$$\frac{12+27}{64}$$

Add 12 and 27 to get 39.

$$\frac{39}{64}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {6}} = 0.609375$$