Solve 64/9-36/7

$$6 \frac{ 4 }{ 9 } -3 \frac{ 6 }{ 7 }$$

Evaluate

$$\frac{163}{63}\approx 2.587301587$$

Solution Steps

Multiply 6 and 9 to get 54.

$$\frac{54+4}{9}-\frac{3\times 7+6}{7}$$

Add 54 and 4 to get 58.

$$\frac{58}{9}-\frac{3\times 7+6}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{58}{9}-\frac{21+6}{7}$$

Add 21 and 6 to get 27.

$$\frac{58}{9}-\frac{27}{7}$$

Least common multiple of 9 and 7 is 63. Convert \frac{58}{9} and \frac{27}{7} to fractions with denominator 63.

$$\frac{406}{63}-\frac{243}{63}$$

Since \frac{406}{63} and \frac{243}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{406-243}{63}$$

Subtract 243 from 406 to get 163.

$$\frac{163}{63}$$

Factor

$$\frac{163}{3 ^ {2} \cdot 7} = 2\frac{37}{63} = 2.5873015873015874$$