Solve 4.2*1/4+0.25*5.8

$$4.2 \times \frac { 1 } { 4 } + 0.25 \times 5.8$$

Evaluate

$$2.5$$

Solution Steps

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{21}{5}\times \frac{1}{4}+0.25\times 5.8$$

Multiply \frac{21}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 1}{5\times 4}+0.25\times 5.8$$

Do the multiplications in the fraction \frac{21\times 1}{5\times 4}.

$$\frac{21}{20}+0.25\times 5.8$$

Multiply 0.25 and 5.8 to get 1.45.

$$\frac{21}{20}+1.45$$

Convert decimal number 1.45 to fraction \frac{145}{100}. Reduce the fraction \frac{145}{100} to lowest terms by extracting and canceling out 5.

$$\frac{21}{20}+\frac{29}{20}$$

Since \frac{21}{20} and \frac{29}{20} have the same denominator, add them by adding their numerators.

$$\frac{21+29}{20}$$

Add 21 and 29 to get 50.

$$\frac{50}{20}$$

Reduce the fraction \frac{50}{20} to lowest terms by extracting and canceling out 10.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$