Solve 122*(1-1273div1310)*45

$$122 \times (1-1273 \div 1310) \times 45$$

Evaluate

$$\frac{20313}{131}\approx 155.061068702$$

Solution Steps

Convert 1 to fraction \frac{1310}{1310}.

$$122\left(\frac{1310}{1310}-\frac{1273}{1310}\right)\times 45$$

Since \frac{1310}{1310} and \frac{1273}{1310} have the same denominator, subtract them by subtracting their numerators.

$$122\times \frac{1310-1273}{1310}\times 45$$

Subtract 1273 from 1310 to get 37.

$$122\times \frac{37}{1310}\times 45$$

Express 122\times \frac{37}{1310} as a single fraction.

$$\frac{122\times 37}{1310}\times 45$$

Multiply 122 and 37 to get 4514.

$$\frac{4514}{1310}\times 45$$

Reduce the fraction \frac{4514}{1310} to lowest terms by extracting and canceling out 2.

$$\frac{2257}{655}\times 45$$

Express \frac{2257}{655}\times 45 as a single fraction.

$$\frac{2257\times 45}{655}$$

Multiply 2257 and 45 to get 101565.

$$\frac{101565}{655}$$

Reduce the fraction \frac{101565}{655} to lowest terms by extracting and canceling out 5.

$$\frac{20313}{131}$$

Factor

$$\frac{3 ^ {2} \cdot 37 \cdot 61}{131} = 155\frac{8}{131} = 155.06106870229007$$