Solve 13/25*3+77/250*4+21/125*5

$$\frac { 13 } { 25 } \times 3 + \frac { 77 } { 250 } \times 4 + \frac { 21 } { 125 } \times 5$$

Evaluate

$$\frac{454}{125}=3.632$$

Solution Steps

Express \frac{13}{25}\times 3 as a single fraction.

$$\frac{13\times 3}{25}+\frac{77}{250}\times 4+\frac{21}{125}\times 5$$

Multiply 13 and 3 to get 39.

$$\frac{39}{25}+\frac{77}{250}\times 4+\frac{21}{125}\times 5$$

Express \frac{77}{250}\times 4 as a single fraction.

$$\frac{39}{25}+\frac{77\times 4}{250}+\frac{21}{125}\times 5$$

Multiply 77 and 4 to get 308.

$$\frac{39}{25}+\frac{308}{250}+\frac{21}{125}\times 5$$

Reduce the fraction \frac{308}{250} to lowest terms by extracting and canceling out 2.

$$\frac{39}{25}+\frac{154}{125}+\frac{21}{125}\times 5$$

Least common multiple of 25 and 125 is 125. Convert \frac{39}{25} and \frac{154}{125} to fractions with denominator 125.

$$\frac{195}{125}+\frac{154}{125}+\frac{21}{125}\times 5$$

Since \frac{195}{125} and \frac{154}{125} have the same denominator, add them by adding their numerators.

$$\frac{195+154}{125}+\frac{21}{125}\times 5$$

Add 195 and 154 to get 349.

$$\frac{349}{125}+\frac{21}{125}\times 5$$

Express \frac{21}{125}\times 5 as a single fraction.

$$\frac{349}{125}+\frac{21\times 5}{125}$$

Multiply 21 and 5 to get 105.

$$\frac{349}{125}+\frac{105}{125}$$

Since \frac{349}{125} and \frac{105}{125} have the same denominator, add them by adding their numerators.

$$\frac{349+105}{125}$$

Add 349 and 105 to get 454.

$$\frac{454}{125}$$

Factor

$$\frac{2 \cdot 227}{5 ^ {3}} = 3\frac{79}{125} = 3.632$$