Solve 81/5-43/7

$$8 \frac{ 1 }{ 5 } -4 \frac{ 3 }{ 7 }$$

Evaluate

$$\frac{132}{35}\approx 3.771428571$$

Solution Steps

Multiply 8 and 5 to get 40.

$$\frac{40+1}{5}-\frac{4\times 7+3}{7}$$

Add 40 and 1 to get 41.

$$\frac{41}{5}-\frac{4\times 7+3}{7}$$

Multiply 4 and 7 to get 28.

$$\frac{41}{5}-\frac{28+3}{7}$$

Add 28 and 3 to get 31.

$$\frac{41}{5}-\frac{31}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{41}{5} and \frac{31}{7} to fractions with denominator 35.

$$\frac{287}{35}-\frac{155}{35}$$

Since \frac{287}{35} and \frac{155}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{287-155}{35}$$

Subtract 155 from 287 to get 132.

$$\frac{132}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 11}{5 \cdot 7} = 3\frac{27}{35} = 3.7714285714285714$$