Solve 189/625+981*2/2500+243*3/1250+81*4/2500

$$\frac { 189 } { 625 } + \frac { 981 \times 2 } { 2500 } + \frac { 243 \times 3 } { 1250 } + \frac { 81 \times 4 } { 2500 }$$

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Multiply 981 and 2 to get 1962.

$$\frac{189}{625}+\frac{1962}{2500}+\frac{243\times 3}{1250}+\frac{81\times 4}{2500}$$

Reduce the fraction \frac{1962}{2500} to lowest terms by extracting and canceling out 2.

$$\frac{189}{625}+\frac{981}{1250}+\frac{243\times 3}{1250}+\frac{81\times 4}{2500}$$

Least common multiple of 625 and 1250 is 1250. Convert \frac{189}{625} and \frac{981}{1250} to fractions with denominator 1250.

$$\frac{378}{1250}+\frac{981}{1250}+\frac{243\times 3}{1250}+\frac{81\times 4}{2500}$$

Since \frac{378}{1250} and \frac{981}{1250} have the same denominator, add them by adding their numerators.

$$\frac{378+981}{1250}+\frac{243\times 3}{1250}+\frac{81\times 4}{2500}$$

Add 378 and 981 to get 1359.

$$\frac{1359}{1250}+\frac{243\times 3}{1250}+\frac{81\times 4}{2500}$$

Multiply 243 and 3 to get 729.

$$\frac{1359}{1250}+\frac{729}{1250}+\frac{81\times 4}{2500}$$

Since \frac{1359}{1250} and \frac{729}{1250} have the same denominator, add them by adding their numerators.

$$\frac{1359+729}{1250}+\frac{81\times 4}{2500}$$

Add 1359 and 729 to get 2088.

$$\frac{2088}{1250}+\frac{81\times 4}{2500}$$

Reduce the fraction \frac{2088}{1250} to lowest terms by extracting and canceling out 2.

$$\frac{1044}{625}+\frac{81\times 4}{2500}$$

Multiply 81 and 4 to get 324.

$$\frac{1044}{625}+\frac{324}{2500}$$

Reduce the fraction \frac{324}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{1044}{625}+\frac{81}{625}$$

Since \frac{1044}{625} and \frac{81}{625} have the same denominator, add them by adding their numerators.

$$\frac{1044+81}{625}$$

Add 1044 and 81 to get 1125.

$$\frac{1125}{625}$$

Reduce the fraction \frac{1125}{625} to lowest terms by extracting and canceling out 125.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$