Solve 584div698*325-46*5=

$$584 \div 698 \times 325-46 \times 5=$$

Evaluate

$$\frac{14630}{349}\approx 41.919770774$$

Solution Steps

Reduce the fraction \frac{584}{698} to lowest terms by extracting and canceling out 2.

$$\frac{292}{349}\times 325-46\times 5$$

Express \frac{292}{349}\times 325 as a single fraction.

$$\frac{292\times 325}{349}-46\times 5$$

Multiply 292 and 325 to get 94900.

$$\frac{94900}{349}-46\times 5$$

Multiply 46 and 5 to get 230.

$$\frac{94900}{349}-230$$

Convert 230 to fraction \frac{80270}{349}.

$$\frac{94900}{349}-\frac{80270}{349}$$

Since \frac{94900}{349} and \frac{80270}{349} have the same denominator, subtract them by subtracting their numerators.

$$\frac{94900-80270}{349}$$

Subtract 80270 from 94900 to get 14630.

$$\frac{14630}{349}$$

Factor

$$\frac{2 \cdot 5 \cdot 7 \cdot 11 \cdot 19}{349} = 41\frac{321}{349} = 41.919770773638966$$