Solve 1/3*0.32+2/3*0.64+4/3*0.32?

$$\frac { 1 } { 3 } \times 0.32 + \frac { 2 } { 3 } \times 0.64 + \frac { 4 } { 3 } \times 0.32 ?$$

Evaluate

$$0.96$$

Solution Steps

Convert decimal number 0.32 to fraction \frac{32}{100}. Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{8}{25}+\frac{2}{3}\times 0.64+\frac{4}{3}\times 0.32$$

Multiply \frac{1}{3} times \frac{8}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{3\times 25}+\frac{2}{3}\times 0.64+\frac{4}{3}\times 0.32$$

Do the multiplications in the fraction \frac{1\times 8}{3\times 25}.

$$\frac{8}{75}+\frac{2}{3}\times 0.64+\frac{4}{3}\times 0.32$$

Convert decimal number 0.64 to fraction \frac{64}{100}. Reduce the fraction \frac{64}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{75}+\frac{2}{3}\times \frac{16}{25}+\frac{4}{3}\times 0.32$$

Multiply \frac{2}{3} times \frac{16}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{75}+\frac{2\times 16}{3\times 25}+\frac{4}{3}\times 0.32$$

Do the multiplications in the fraction \frac{2\times 16}{3\times 25}.

$$\frac{8}{75}+\frac{32}{75}+\frac{4}{3}\times 0.32$$

Since \frac{8}{75} and \frac{32}{75} have the same denominator, add them by adding their numerators.

$$\frac{8+32}{75}+\frac{4}{3}\times 0.32$$

Add 8 and 32 to get 40.

$$\frac{40}{75}+\frac{4}{3}\times 0.32$$

Reduce the fraction \frac{40}{75} to lowest terms by extracting and canceling out 5.

$$\frac{8}{15}+\frac{4}{3}\times 0.32$$

Convert decimal number 0.32 to fraction \frac{32}{100}. Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{15}+\frac{4}{3}\times \frac{8}{25}$$

Multiply \frac{4}{3} times \frac{8}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{15}+\frac{4\times 8}{3\times 25}$$

Do the multiplications in the fraction \frac{4\times 8}{3\times 25}.

$$\frac{8}{15}+\frac{32}{75}$$

Least common multiple of 15 and 75 is 75. Convert \frac{8}{15} and \frac{32}{75} to fractions with denominator 75.

$$\frac{40}{75}+\frac{32}{75}$$

Since \frac{40}{75} and \frac{32}{75} have the same denominator, add them by adding their numerators.

$$\frac{40+32}{75}$$

Add 40 and 32 to get 72.

$$\frac{72}{75}$$

Reduce the fraction \frac{72}{75} to lowest terms by extracting and canceling out 3.

$$\frac{24}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{5 ^ {2}} = 0.96$$