Solve 2.43/0.9+1.6/0.04

$$\frac { 2.43 } { 0.9 } + \frac { 1.6 } { 0.04 }$$

Evaluate

$$42.7$$

Solution Steps

Expand \frac{2.43}{0.9} by multiplying both numerator and the denominator by 100.

$$\frac{243}{90}+\frac{1.6}{0.04}$$

Reduce the fraction \frac{243}{90} to lowest terms by extracting and canceling out 9.

$$\frac{27}{10}+\frac{1.6}{0.04}$$

Expand \frac{1.6}{0.04} by multiplying both numerator and the denominator by 100.

$$\frac{27}{10}+\frac{160}{4}$$

Divide 160 by 4 to get 40.

$$\frac{27}{10}+40$$

Convert 40 to fraction \frac{400}{10}.

$$\frac{27}{10}+\frac{400}{10}$$

Since \frac{27}{10} and \frac{400}{10} have the same denominator, add them by adding their numerators.

$$\frac{27+400}{10}$$

Add 27 and 400 to get 427.

$$\frac{427}{10}$$

Factor

$$\frac{7 \cdot 61}{2 \cdot 5} = 42\frac{7}{10} = 42.7$$