Solve 43/7*84/9-43/7*64/9

$$4 \frac { 3 } { 7 } \cdot 8 \frac { 4 } { 9 } - 4 \frac { 3 } { 7 } \cdot 6 \frac { 4 } { 9 }$$

Evaluate

$$\frac{62}{7}\approx 8.857142857$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+3}{7}\times \frac{8\times 9+4}{9}-\frac{4\times 7+3}{7}\times \frac{6\times 9+4}{9}$$

Add 28 and 3 to get 31.

$$\frac{31}{7}\times \frac{8\times 9+4}{9}-\frac{4\times 7+3}{7}\times \frac{6\times 9+4}{9}$$

Multiply 8 and 9 to get 72.

$$\frac{31}{7}\times \frac{72+4}{9}-\frac{4\times 7+3}{7}\times \frac{6\times 9+4}{9}$$

Add 72 and 4 to get 76.

$$\frac{31}{7}\times \frac{76}{9}-\frac{4\times 7+3}{7}\times \frac{6\times 9+4}{9}$$

Multiply \frac{31}{7} times \frac{76}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 76}{7\times 9}-\frac{4\times 7+3}{7}\times \frac{6\times 9+4}{9}$$

Do the multiplications in the fraction \frac{31\times 76}{7\times 9}.

$$\frac{2356}{63}-\frac{4\times 7+3}{7}\times \frac{6\times 9+4}{9}$$

Multiply 4 and 7 to get 28.

$$\frac{2356}{63}-\frac{28+3}{7}\times \frac{6\times 9+4}{9}$$

Add 28 and 3 to get 31.

$$\frac{2356}{63}-\frac{31}{7}\times \frac{6\times 9+4}{9}$$

Multiply 6 and 9 to get 54.

$$\frac{2356}{63}-\frac{31}{7}\times \frac{54+4}{9}$$

Add 54 and 4 to get 58.

$$\frac{2356}{63}-\frac{31}{7}\times \frac{58}{9}$$

Multiply \frac{31}{7} times \frac{58}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2356}{63}-\frac{31\times 58}{7\times 9}$$

Do the multiplications in the fraction \frac{31\times 58}{7\times 9}.

$$\frac{2356}{63}-\frac{1798}{63}$$

Since \frac{2356}{63} and \frac{1798}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2356-1798}{63}$$

Subtract 1798 from 2356 to get 558.

$$\frac{558}{63}$$

Reduce the fraction \frac{558}{63} to lowest terms by extracting and canceling out 9.

$$\frac{62}{7}$$

Factor

$$\frac{2 \cdot 31}{7} = 8\frac{6}{7} = 8.857142857142858$$