Solve 1/2.5+1*24.5

$$\frac{ 1 }{ 2.5+1 } \times 24.5$$

Evaluate

$$7$$

Solution Steps

Add 2.5 and 1 to get 3.5.

$$\frac{1}{3.5}\times 24.5$$

Expand \frac{1}{3.5} by multiplying both numerator and the denominator by 10.

$$\frac{10}{35}\times 24.5$$

Reduce the fraction \frac{10}{35} to lowest terms by extracting and canceling out 5.

$$\frac{2}{7}\times 24.5$$

Convert decimal number 24.5 to fraction \frac{245}{10}. Reduce the fraction \frac{245}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2}{7}\times \frac{49}{2}$$

Multiply \frac{2}{7} times \frac{49}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 49}{7\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{49}{7}$$

Divide 49 by 7 to get 7.

$$7$$

Factor

$$7$$