Solve 23/4*0.72+7/25*2.75

$$2 \frac { 3 } { 4 } \times 0.72 + \frac { 7 } { 25 } \times 2.75$$

Evaluate

$$2.75$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}\times 0.72+\frac{7}{25}\times 2.75$$

Add 8 and 3 to get 11.

$$\frac{11}{4}\times 0.72+\frac{7}{25}\times 2.75$$

Convert decimal number 0.72 to fraction \frac{72}{100}. Reduce the fraction \frac{72}{100} to lowest terms by extracting and canceling out 4.

$$\frac{11}{4}\times \frac{18}{25}+\frac{7}{25}\times 2.75$$

Multiply \frac{11}{4} times \frac{18}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 18}{4\times 25}+\frac{7}{25}\times 2.75$$

Do the multiplications in the fraction \frac{11\times 18}{4\times 25}.

$$\frac{198}{100}+\frac{7}{25}\times 2.75$$

Reduce the fraction \frac{198}{100} to lowest terms by extracting and canceling out 2.

$$\frac{99}{50}+\frac{7}{25}\times 2.75$$

Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{99}{50}+\frac{7}{25}\times \frac{11}{4}$$

Multiply \frac{7}{25} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99}{50}+\frac{7\times 11}{25\times 4}$$

Do the multiplications in the fraction \frac{7\times 11}{25\times 4}.

$$\frac{99}{50}+\frac{77}{100}$$

Least common multiple of 50 and 100 is 100. Convert \frac{99}{50} and \frac{77}{100} to fractions with denominator 100.

$$\frac{198}{100}+\frac{77}{100}$$

Since \frac{198}{100} and \frac{77}{100} have the same denominator, add them by adding their numerators.

$$\frac{198+77}{100}$$

Add 198 and 77 to get 275.

$$\frac{275}{100}$$

Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{11}{4}$$

Factor

$$\frac{11}{2 ^ {2}} = 2\frac{3}{4} = 2.75$$