Solve 50+(10.5/32)*10

$$50 + ( \frac { 10.5 } { 32 } ) \times 10$$

Evaluate

$$53.28125$$

Solution Steps

Expand \frac{10.5}{32} by multiplying both numerator and the denominator by 10.

$$50+\frac{105}{320}\times 10$$

Reduce the fraction \frac{105}{320} to lowest terms by extracting and canceling out 5.

$$50+\frac{21}{64}\times 10$$

Express \frac{21}{64}\times 10 as a single fraction.

$$50+\frac{21\times 10}{64}$$

Multiply 21 and 10 to get 210.

$$50+\frac{210}{64}$$

Reduce the fraction \frac{210}{64} to lowest terms by extracting and canceling out 2.

$$50+\frac{105}{32}$$

Convert 50 to fraction \frac{1600}{32}.

$$\frac{1600}{32}+\frac{105}{32}$$

Since \frac{1600}{32} and \frac{105}{32} have the same denominator, add them by adding their numerators.

$$\frac{1600+105}{32}$$

Add 1600 and 105 to get 1705.

$$\frac{1705}{32}$$

Factor

$$\frac{5 \cdot 11 \cdot 31}{2 ^ {5}} = 53\frac{9}{32} = 53.28125$$