Solve 1/2+45/24*10/25

$$\frac{ 1 }{ 2 } + \frac{ 45 }{ 24 } \times \frac{ 10 }{ 25 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Reduce the fraction \frac{45}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}+\frac{15}{8}\times \frac{10}{25}$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{15}{8}\times \frac{2}{5}$$

Multiply \frac{15}{8} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{15\times 2}{8\times 5}$$

Do the multiplications in the fraction \frac{15\times 2}{8\times 5}.

$$\frac{1}{2}+\frac{30}{40}$$

Reduce the fraction \frac{30}{40} to lowest terms by extracting and canceling out 10.

$$\frac{1}{2}+\frac{3}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{3}{4}$$

Since \frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{4}$$

Add 2 and 3 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$