Solve 1.25+3/20+13/4+6.85

$$1.25 + \frac { 3 } { 20 } + 1 \frac { 3 } { 4 } + 6.85$$

Evaluate

$$10$$

Solution Steps

Convert decimal number 1.25 to fraction \frac{125}{100}. Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{5}{4}+\frac{3}{20}+\frac{1\times 4+3}{4}+6.85$$

Least common multiple of 4 and 20 is 20. Convert \frac{5}{4} and \frac{3}{20} to fractions with denominator 20.

$$\frac{25}{20}+\frac{3}{20}+\frac{1\times 4+3}{4}+6.85$$

Since \frac{25}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{25+3}{20}+\frac{1\times 4+3}{4}+6.85$$

Add 25 and 3 to get 28.

$$\frac{28}{20}+\frac{1\times 4+3}{4}+6.85$$

Reduce the fraction \frac{28}{20} to lowest terms by extracting and canceling out 4.

$$\frac{7}{5}+\frac{1\times 4+3}{4}+6.85$$

Multiply 1 and 4 to get 4.

$$\frac{7}{5}+\frac{4+3}{4}+6.85$$

Add 4 and 3 to get 7.

$$\frac{7}{5}+\frac{7}{4}+6.85$$

Least common multiple of 5 and 4 is 20. Convert \frac{7}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{28}{20}+\frac{35}{20}+6.85$$

Since \frac{28}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{28+35}{20}+6.85$$

Add 28 and 35 to get 63.

$$\frac{63}{20}+6.85$$

Convert decimal number 6.85 to fraction \frac{685}{100}. Reduce the fraction \frac{685}{100} to lowest terms by extracting and canceling out 5.

$$\frac{63}{20}+\frac{137}{20}$$

Since \frac{63}{20} and \frac{137}{20} have the same denominator, add them by adding their numerators.

$$\frac{63+137}{20}$$

Add 63 and 137 to get 200.

$$\frac{200}{20}$$

Divide 200 by 20 to get 10.

$$10$$

Factor

$$2\times 5$$