Solve 7/11+3/10-3/16+3/4

$$\frac { 7 } { 11 } + \frac { 3 } { 10 } - \frac { 3 } { 16 } + \frac { 3 } { 4 }$$

Evaluate

$$\frac{1319}{880}\approx 1.498863636$$

Solution Steps

Least common multiple of 11 and 10 is 110. Convert \frac{7}{11} and \frac{3}{10} to fractions with denominator 110.

$$\frac{70}{110}+\frac{33}{110}-\frac{3}{16}+\frac{3}{4}$$

Since \frac{70}{110} and \frac{33}{110} have the same denominator, add them by adding their numerators.

$$\frac{70+33}{110}-\frac{3}{16}+\frac{3}{4}$$

Add 70 and 33 to get 103.

$$\frac{103}{110}-\frac{3}{16}+\frac{3}{4}$$

Least common multiple of 110 and 16 is 880. Convert \frac{103}{110} and \frac{3}{16} to fractions with denominator 880.

$$\frac{824}{880}-\frac{165}{880}+\frac{3}{4}$$

Since \frac{824}{880} and \frac{165}{880} have the same denominator, subtract them by subtracting their numerators.

$$\frac{824-165}{880}+\frac{3}{4}$$

Subtract 165 from 824 to get 659.

$$\frac{659}{880}+\frac{3}{4}$$

Least common multiple of 880 and 4 is 880. Convert \frac{659}{880} and \frac{3}{4} to fractions with denominator 880.

$$\frac{659}{880}+\frac{660}{880}$$

Since \frac{659}{880} and \frac{660}{880} have the same denominator, add them by adding their numerators.

$$\frac{659+660}{880}$$

Add 659 and 660 to get 1319.

$$\frac{1319}{880}$$

Factor

$$\frac{1319}{2 ^ {4} \cdot 5 \cdot 11} = 1\frac{439}{880} = 1.4988636363636363$$