Solve 107/89*64/70+107/89*25/40=

$$\frac { 107 } { 89 } \cdot \frac { 64 } { 70 } + \frac { 107 } { 89 } \cdot \frac { 25 } { 40 } =$$

Evaluate

$$\frac{46117}{24920}\approx 1.850601926$$

Solution Steps

Reduce the fraction \frac{64}{70} to lowest terms by extracting and canceling out 2.

$$\frac{107}{89}\times \frac{32}{35}+\frac{107}{89}\times \frac{25}{40}$$

Multiply \frac{107}{89} times \frac{32}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{107\times 32}{89\times 35}+\frac{107}{89}\times \frac{25}{40}$$

Do the multiplications in the fraction \frac{107\times 32}{89\times 35}.

$$\frac{3424}{3115}+\frac{107}{89}\times \frac{25}{40}$$

Reduce the fraction \frac{25}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3424}{3115}+\frac{107}{89}\times \frac{5}{8}$$

Multiply \frac{107}{89} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3424}{3115}+\frac{107\times 5}{89\times 8}$$

Do the multiplications in the fraction \frac{107\times 5}{89\times 8}.

$$\frac{3424}{3115}+\frac{535}{712}$$

Least common multiple of 3115 and 712 is 24920. Convert \frac{3424}{3115} and \frac{535}{712} to fractions with denominator 24920.

$$\frac{27392}{24920}+\frac{18725}{24920}$$

Since \frac{27392}{24920} and \frac{18725}{24920} have the same denominator, add them by adding their numerators.

$$\frac{27392+18725}{24920}$$

Add 27392 and 18725 to get 46117.

$$\frac{46117}{24920}$$

Factor

$$\frac{107 \cdot 431}{2 ^ {3} \cdot 5 \cdot 7 \cdot 89} = 1\frac{21197}{24920} = 1.8506019261637239$$