Solve 8/21*1,75+12/13div119/26

$$\frac { 8 } { 21 } \times 1,75 + 1 \frac { 2 } { 13 } \div 1 \frac { 19 } { 26 }$$

Evaluate

$$\frac{4}{3}\approx 1,333333333$$

Solution Steps

Convert decimal number 1,75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{8}{21}\times \frac{7}{4}+\frac{\frac{1\times 13+2}{13}}{\frac{1\times 26+19}{26}}$$

Multiply \frac{8}{21} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{21\times 4}+\frac{\frac{1\times 13+2}{13}}{\frac{1\times 26+19}{26}}$$

Do the multiplications in the fraction \frac{8\times 7}{21\times 4}.

$$\frac{56}{84}+\frac{\frac{1\times 13+2}{13}}{\frac{1\times 26+19}{26}}$$

Reduce the fraction \frac{56}{84} to lowest terms by extracting and canceling out 28.

$$\frac{2}{3}+\frac{\frac{1\times 13+2}{13}}{\frac{1\times 26+19}{26}}$$

Divide \frac{1\times 13+2}{13} by \frac{1\times 26+19}{26} by multiplying \frac{1\times 13+2}{13} by the reciprocal of \frac{1\times 26+19}{26}.

$$\frac{2}{3}+\frac{\left(1\times 13+2\right)\times 26}{13\left(1\times 26+19\right)}$$

Cancel out 13 in both numerator and denominator.

$$\frac{2}{3}+\frac{2\left(2+13\right)}{19+26}$$

Add 2 and 13 to get 15.

$$\frac{2}{3}+\frac{2\times 15}{19+26}$$

Multiply 2 and 15 to get 30.

$$\frac{2}{3}+\frac{30}{19+26}$$

Add 19 and 26 to get 45.

$$\frac{2}{3}+\frac{30}{45}$$

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

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

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

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

Add 2 and 2 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$