Solve 3.2-2.95/0.25*2+frac{1{4}}+2*0.3/2.3-1frac{2{5}}=

$$\frac { 3.2 - 2.95 } { 0.25 \times 2 + \frac { 1 } { 4 } } + \frac { 2 \times 0.3 } { 2.3 - 1 \frac { 2 } { 5 } } =$$

Evaluate

$$1$$

Solution Steps

Subtract 2.95 from 3.2 to get 0.25.

$$\frac{0.25}{0.25\times 2+\frac{1}{4}}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Multiply 0.25 and 2 to get 0.5.

$$\frac{0.25}{0.5+\frac{1}{4}}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{0.25}{\frac{1}{2}+\frac{1}{4}}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{0.25}{\frac{2}{4}+\frac{1}{4}}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{0.25}{\frac{2+1}{4}}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Add 2 and 1 to get 3.

$$\frac{0.25}{\frac{3}{4}}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Divide 0.25 by \frac{3}{4} by multiplying 0.25 by the reciprocal of \frac{3}{4}.

$$0.25\times \frac{4}{3}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

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.

$$\frac{1}{4}\times \frac{4}{3}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Multiply \frac{1}{4} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{4\times 3}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{1}{3}+\frac{2\times 0.3}{2.3-\frac{1\times 5+2}{5}}$$

Multiply 2 and 0.3 to get 0.6.

$$\frac{1}{3}+\frac{0.6}{2.3-\frac{1\times 5+2}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{1}{3}+\frac{0.6}{2.3-\frac{5+2}{5}}$$

Add 5 and 2 to get 7.

$$\frac{1}{3}+\frac{0.6}{2.3-\frac{7}{5}}$$

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$\frac{1}{3}+\frac{0.6}{\frac{23}{10}-\frac{7}{5}}$$

Least common multiple of 10 and 5 is 10. Convert \frac{23}{10} and \frac{7}{5} to fractions with denominator 10.

$$\frac{1}{3}+\frac{0.6}{\frac{23}{10}-\frac{14}{10}}$$

Since \frac{23}{10} and \frac{14}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}+\frac{0.6}{\frac{23-14}{10}}$$

Subtract 14 from 23 to get 9.

$$\frac{1}{3}+\frac{0.6}{\frac{9}{10}}$$

Divide 0.6 by \frac{9}{10} by multiplying 0.6 by the reciprocal of \frac{9}{10}.

$$\frac{1}{3}+0.6\times \frac{10}{9}$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}+\frac{3}{5}\times \frac{10}{9}$$

Multiply \frac{3}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}+\frac{3\times 10}{5\times 9}$$

Do the multiplications in the fraction \frac{3\times 10}{5\times 9}.

$$\frac{1}{3}+\frac{30}{45}$$

Reduce the fraction \frac{30}{45} to lowest terms by extracting and canceling out 15.

$$\frac{1}{3}+\frac{2}{3}$$

Since \frac{1}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{3}$$

Add 1 and 2 to get 3.

$$\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$