Solve 0.21:3/8+11/25

$$0.21 : \frac { 3 } { 8 } + \frac { 11 } { 25 }$$

Evaluate

$$1$$

Solution Steps

Divide 0.21 by \frac{3}{8} by multiplying 0.21 by the reciprocal of \frac{3}{8}.

$$0.21\times \frac{8}{3}+\frac{11}{25}$$

Convert decimal number 0.21 to fraction \frac{21}{100}.

$$\frac{21}{100}\times \frac{8}{3}+\frac{11}{25}$$

Multiply \frac{21}{100} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 8}{100\times 3}+\frac{11}{25}$$

Do the multiplications in the fraction \frac{21\times 8}{100\times 3}.

$$\frac{168}{300}+\frac{11}{25}$$

Reduce the fraction \frac{168}{300} to lowest terms by extracting and canceling out 12.

$$\frac{14}{25}+\frac{11}{25}$$

Since \frac{14}{25} and \frac{11}{25} have the same denominator, add them by adding their numerators.

$$\frac{14+11}{25}$$

Add 14 and 11 to get 25.

$$\frac{25}{25}$$

Divide 25 by 25 to get 1.

$$1$$

Factor

$$1$$