Solve 101/7*96/7

$$10 \frac { 1 } { 7 } \cdot 9 \frac { 6 } { 7 }$$

Evaluate

$$\frac{4899}{49}\approx 99.979591837$$

Solution Steps

Multiply 10 and 7 to get 70.

$$\frac{70+1}{7}\times \frac{9\times 7+6}{7}$$

Add 70 and 1 to get 71.

$$\frac{71}{7}\times \frac{9\times 7+6}{7}$$

Multiply 9 and 7 to get 63.

$$\frac{71}{7}\times \frac{63+6}{7}$$

Add 63 and 6 to get 69.

$$\frac{71}{7}\times \frac{69}{7}$$

Multiply \frac{71}{7} times \frac{69}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{71\times 69}{7\times 7}$$

Do the multiplications in the fraction \frac{71\times 69}{7\times 7}.

$$\frac{4899}{49}$$

Factor

$$\frac{3 \cdot 23 \cdot 71}{7 ^ {2}} = 99\frac{48}{49} = 99.9795918367347$$