Solve 154.33div74*55div93.22+62x9div965^2

$$154.33 \div 74 \times 55 \div 93.22+62x9 \div { 965 }^{ 2 }$$

Evaluate

$$\frac{62x_{9}}{931225}+\frac{848815}{689828}$$

Short Solution Steps

Expand \frac{154.33}{74} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{15433}{7400}\times 55}{93.22}+\frac{62x_{9}}{965^{2}}$$

Express \frac{15433}{7400}\times 55 as a single fraction.

$$\frac{\frac{15433\times 55}{7400}}{93.22}+\frac{62x_{9}}{965^{2}}$$

Multiply 15433 and 55 to get 848815.

$$\frac{\frac{848815}{7400}}{93.22}+\frac{62x_{9}}{965^{2}}$$

Reduce the fraction \frac{848815}{7400} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{169763}{1480}}{93.22}+\frac{62x_{9}}{965^{2}}$$

Express \frac{\frac{169763}{1480}}{93.22} as a single fraction.

$$\frac{169763}{1480\times 93.22}+\frac{62x_{9}}{965^{2}}$$

Multiply 1480 and 93.22 to get 137965.6.

$$\frac{169763}{137965.6}+\frac{62x_{9}}{965^{2}}$$

Expand \frac{169763}{137965.6} by multiplying both numerator and the denominator by 10.

$$\frac{1697630}{1379656}+\frac{62x_{9}}{965^{2}}$$

Reduce the fraction \frac{1697630}{1379656} to lowest terms by extracting and canceling out 2.

$$\frac{848815}{689828}+\frac{62x_{9}}{965^{2}}$$

Calculate 965 to the power of 2 and get 931225.

$$\frac{848815}{689828}+\frac{62x_{9}}{931225}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 689828 and 931225 is 642385079300. Multiply \frac{848815}{689828} times \frac{931225}{931225}. Multiply \frac{62x_{9}}{931225} times \frac{689828}{689828}.

$$\frac{848815\times 931225}{642385079300}+\frac{689828\times 62x_{9}}{642385079300}$$

Since \frac{848815\times 931225}{642385079300} and \frac{689828\times 62x_{9}}{642385079300} have the same denominator, add them by adding their numerators.

$$\frac{848815\times 931225+689828\times 62x_{9}}{642385079300}$$

Do the multiplications in 848815\times 931225+689828\times 62x_{9}.

$$\frac{790437748375+42769336x_{9}}{642385079300}$$

Factor

$$\frac{42769336x_{9}[phone]}{642385079300}$$