Solve ((48/52)31.2)+((48/52)20.8)

$$(( \frac{ 48 }{ 52 } )31.2)+(( \frac{ 48 }{ 52 } )20.8)$$

Evaluate

$$48$$

Solution Steps

Reduce the fraction \frac{48}{52} to lowest terms by extracting and canceling out 4.

$$\frac{12}{13}\times 31.2+\frac{48}{52}\times 20.8$$

Convert decimal number 31.2 to fraction \frac{312}{10}. Reduce the fraction \frac{312}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{13}\times \frac{156}{5}+\frac{48}{52}\times 20.8$$

Multiply \frac{12}{13} times \frac{156}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 156}{13\times 5}+\frac{48}{52}\times 20.8$$

Do the multiplications in the fraction \frac{12\times 156}{13\times 5}.

$$\frac{1872}{65}+\frac{48}{52}\times 20.8$$

Reduce the fraction \frac{1872}{65} to lowest terms by extracting and canceling out 13.

$$\frac{144}{5}+\frac{48}{52}\times 20.8$$

Reduce the fraction \frac{48}{52} to lowest terms by extracting and canceling out 4.

$$\frac{144}{5}+\frac{12}{13}\times 20.8$$

Convert decimal number 20.8 to fraction \frac{208}{10}. Reduce the fraction \frac{208}{10} to lowest terms by extracting and canceling out 2.

$$\frac{144}{5}+\frac{12}{13}\times \frac{104}{5}$$

Multiply \frac{12}{13} times \frac{104}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{144}{5}+\frac{12\times 104}{13\times 5}$$

Do the multiplications in the fraction \frac{12\times 104}{13\times 5}.

$$\frac{144}{5}+\frac{1248}{65}$$

Reduce the fraction \frac{1248}{65} to lowest terms by extracting and canceling out 13.

$$\frac{144}{5}+\frac{96}{5}$$

Since \frac{144}{5} and \frac{96}{5} have the same denominator, add them by adding their numerators.

$$\frac{144+96}{5}$$

Add 144 and 96 to get 240.

$$\frac{240}{5}$$

Divide 240 by 5 to get 48.

$$48$$

Factor

$$3\times 2^{4}$$