Solve 126/7-51/3-11/4

$$12 \frac { 6 } { 7 } - 5 \frac { 1 } { 3 } - 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{527}{84}\approx 6.273809524$$

Solution Steps

Multiply 12 and 7 to get 84.

$$\frac{84+6}{7}-\frac{5\times 3+1}{3}-\frac{1\times 4+1}{4}$$

Add 84 and 6 to get 90.

$$\frac{90}{7}-\frac{5\times 3+1}{3}-\frac{1\times 4+1}{4}$$

Multiply 5 and 3 to get 15.

$$\frac{90}{7}-\frac{15+1}{3}-\frac{1\times 4+1}{4}$$

Add 15 and 1 to get 16.

$$\frac{90}{7}-\frac{16}{3}-\frac{1\times 4+1}{4}$$

Least common multiple of 7 and 3 is 21. Convert \frac{90}{7} and \frac{16}{3} to fractions with denominator 21.

$$\frac{270}{21}-\frac{112}{21}-\frac{1\times 4+1}{4}$$

Since \frac{270}{21} and \frac{112}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{270-112}{21}-\frac{1\times 4+1}{4}$$

Subtract 112 from 270 to get 158.

$$\frac{158}{21}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{158}{21}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{158}{21}-\frac{5}{4}$$

Least common multiple of 21 and 4 is 84. Convert \frac{158}{21} and \frac{5}{4} to fractions with denominator 84.

$$\frac{632}{84}-\frac{105}{84}$$

Since \frac{632}{84} and \frac{105}{84} have the same denominator, subtract them by subtracting their numerators.

$$\frac{632-105}{84}$$

Subtract 105 from 632 to get 527.

$$\frac{527}{84}$$

Factor

$$\frac{17 \cdot 31}{2 ^ {2} \cdot 3 \cdot 7} = 6\frac{23}{84} = 6.273809523809524$$