Solve 0,25div(1-5/9)+3/8

$$0,25 \div ( 1 - \frac { 5 } { 9 } ) + \frac { 3 } { 8 }$$

Evaluate

$$0,9375$$

Solution Steps

Convert 1 to fraction \frac{9}{9}.

$$\frac{0,25}{\frac{9}{9}-\frac{5}{9}}+\frac{3}{8}$$

Since \frac{9}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0,25}{\frac{9-5}{9}}+\frac{3}{8}$$

Subtract 5 from 9 to get 4.

$$\frac{0,25}{\frac{4}{9}}+\frac{3}{8}$$

Divide 0,25 by \frac{4}{9} by multiplying 0,25 by the reciprocal of \frac{4}{9}.

$$0,25\times \frac{9}{4}+\frac{3}{8}$$

Convert decimal number 0,25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}\times \frac{9}{4}+\frac{3}{8}$$

Multiply \frac{1}{4} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{4\times 4}+\frac{3}{8}$$

Do the multiplications in the fraction \frac{1\times 9}{4\times 4}.

$$\frac{9}{16}+\frac{3}{8}$$

Least common multiple of 16 and 8 is 16. Convert \frac{9}{16} and \frac{3}{8} to fractions with denominator 16.

$$\frac{9}{16}+\frac{6}{16}$$

Since \frac{9}{16} and \frac{6}{16} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{16}$$

Add 9 and 6 to get 15.

$$\frac{15}{16}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {4}} = 0.9375$$