Solve 13/4-2,25+45/6

$$1 \frac { 3 } { 4 } - 2,25 + 4 \frac { 5 } { 6 }$$

Evaluate

$$\frac{13}{3}\approx 4,333333333$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}-2,25+\frac{4\times 6+5}{6}$$

Add 4 and 3 to get 7.

$$\frac{7}{4}-2,25+\frac{4\times 6+5}{6}$$

Convert decimal number 2,25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}-\frac{9}{4}+\frac{4\times 6+5}{6}$$

Since \frac{7}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-9}{4}+\frac{4\times 6+5}{6}$$

Subtract 9 from 7 to get -2.

$$\frac{-2}{4}+\frac{4\times 6+5}{6}$$

Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{2}+\frac{4\times 6+5}{6}$$

Multiply 4 and 6 to get 24.

$$-\frac{1}{2}+\frac{24+5}{6}$$

Add 24 and 5 to get 29.

$$-\frac{1}{2}+\frac{29}{6}$$

Least common multiple of 2 and 6 is 6. Convert -\frac{1}{2} and \frac{29}{6} to fractions with denominator 6.

$$-\frac{3}{6}+\frac{29}{6}$$

Since -\frac{3}{6} and \frac{29}{6} have the same denominator, add them by adding their numerators.

$$\frac{-3+29}{6}$$

Add -3 and 29 to get 26.

$$\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$