Solve (5/4*1/160*10^6+5/4*1/88*10^6*frac{3}{2})*5

$$( \frac { 5 } { 4 } \cdot \frac { 1 } { 160 } \cdot 10 ^ { 6 } + \frac { 5 } { 4 } \cdot \frac { 1 } { 88 } \cdot 10 ^ { 6 } \cdot \frac { 3 } { 2 } ) \cdot 5$$

Evaluate

$$\frac{3203125}{22}\approx 145596.590909091$$

Solution Steps

Multiply \frac{5}{4} times \frac{1}{160} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{5\times 1}{4\times 160}\times 10^{6}+\frac{5}{4}\times \frac{1}{88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Do the multiplications in the fraction \frac{5\times 1}{4\times 160}.

$$\left(\frac{5}{640}\times 10^{6}+\frac{5}{4}\times \frac{1}{88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Reduce the fraction \frac{5}{640} to lowest terms by extracting and canceling out 5.

$$\left(\frac{1}{128}\times 10^{6}+\frac{5}{4}\times \frac{1}{88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Calculate 10 to the power of 6 and get 1000000.

$$\left(\frac{1}{128}\times 1000000+\frac{5}{4}\times \frac{1}{88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Multiply \frac{1}{128} and 1000000 to get \frac{1000000}{128}.

$$\left(\frac{1000000}{128}+\frac{5}{4}\times \frac{1}{88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Reduce the fraction \frac{1000000}{128} to lowest terms by extracting and canceling out 64.

$$\left(\frac{15625}{2}+\frac{5}{4}\times \frac{1}{88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Multiply \frac{5}{4} times \frac{1}{88} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{15625}{2}+\frac{5\times 1}{4\times 88}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Do the multiplications in the fraction \frac{5\times 1}{4\times 88}.

$$\left(\frac{15625}{2}+\frac{5}{352}\times 10^{6}\times \frac{3}{2}\right)\times 5$$

Calculate 10 to the power of 6 and get 1000000.

$$\left(\frac{15625}{2}+\frac{5}{352}\times 1000000\times \frac{3}{2}\right)\times 5$$

Express \frac{5}{352}\times 1000000 as a single fraction.

$$\left(\frac{15625}{2}+\frac{5\times 1000000}{352}\times \frac{3}{2}\right)\times 5$$

Multiply 5 and 1000000 to get 5000000.

$$\left(\frac{15625}{2}+\frac{5000000}{352}\times \frac{3}{2}\right)\times 5$$

Reduce the fraction \frac{5000000}{352} to lowest terms by extracting and canceling out 32.

$$\left(\frac{15625}{2}+\frac{156250}{11}\times \frac{3}{2}\right)\times 5$$

Multiply \frac{156250}{11} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\left(\frac{15625}{2}+\frac{156250\times 3}{11\times 2}\right)\times 5$$

Do the multiplications in the fraction \frac{156250\times 3}{11\times 2}.

$$\left(\frac{15625}{2}+\frac{468750}{22}\right)\times 5$$

Reduce the fraction \frac{468750}{22} to lowest terms by extracting and canceling out 2.

$$\left(\frac{15625}{2}+\frac{234375}{11}\right)\times 5$$

Least common multiple of 2 and 11 is 22. Convert \frac{15625}{2} and \frac{234375}{11} to fractions with denominator 22.

$$\left(\frac{171875}{22}+\frac{468750}{22}\right)\times 5$$

Since \frac{171875}{22} and \frac{468750}{22} have the same denominator, add them by adding their numerators.

$$\frac{171875+468750}{22}\times 5$$

Add 171875 and 468750 to get 640625.

$$\frac{640625}{22}\times 5$$

Express \frac{640625}{22}\times 5 as a single fraction.

$$\frac{640625\times 5}{22}$$

Multiply 640625 and 5 to get 3203125.

$$\frac{3203125}{22}$$

Factor

$$\frac{5 ^ {7} \cdot 41}{2 \cdot 11} = 145596\frac{13}{22} = 145596.5909090909$$