Solve 49/10*35/42

$$4 \frac { 9 } { 10 } \times \frac{ 35 }{ 42 }$$

Evaluate

$$\frac{49}{12}\approx 4.083333333$$

Solution Steps

Multiply 4 and 10 to get 40.

$$\frac{40+9}{10}\times \frac{35}{42}$$

Add 40 and 9 to get 49.

$$\frac{49}{10}\times \frac{35}{42}$$

Reduce the fraction \frac{35}{42} to lowest terms by extracting and canceling out 7.

$$\frac{49}{10}\times \frac{5}{6}$$

Multiply \frac{49}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 5}{10\times 6}$$

Do the multiplications in the fraction \frac{49\times 5}{10\times 6}.

$$\frac{245}{60}$$

Reduce the fraction \frac{245}{60} to lowest terms by extracting and canceling out 5.

$$\frac{49}{12}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3} = 4\frac{1}{12} = 4.083333333333333$$