Solve 1.2*(1+1/24)=

$$1.2 \times (1+ \frac{ 1 }{ 24 } )=$$

Evaluate

$$1.25$$

Solution Steps

Convert 1 to fraction \frac{24}{24}.

$$1.2\left(\frac{24}{24}+\frac{1}{24}\right)$$

Since \frac{24}{24} and \frac{1}{24} have the same denominator, add them by adding their numerators.

$$1.2\times \frac{24+1}{24}$$

Add 24 and 1 to get 25.

$$1.2\times \frac{25}{24}$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}\times \frac{25}{24}$$

Multiply \frac{6}{5} times \frac{25}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 25}{5\times 24}$$

Do the multiplications in the fraction \frac{6\times 25}{5\times 24}.

$$\frac{150}{120}$$

Reduce the fraction \frac{150}{120} to lowest terms by extracting and canceling out 30.

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

Factor

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