Solve 528-69div98-36div69*6+369=

$$528-69 \div 98-36 \div 69 \times 6+369=$$

Evaluate

$$\frac{2013195}{2254}\approx 893.165483585$$

Solution Steps

Convert 528 to fraction \frac{51744}{98}.

$$\frac{51744}{98}-\frac{69}{98}-\frac{36}{69}\times 6+369$$

Since \frac{51744}{98} and \frac{69}{98} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51744-69}{98}-\frac{36}{69}\times 6+369$$

Subtract 69 from 51744 to get 51675.

$$\frac{51675}{98}-\frac{36}{69}\times 6+369$$

Reduce the fraction \frac{36}{69} to lowest terms by extracting and canceling out 3.

$$\frac{51675}{98}-\frac{12}{23}\times 6+369$$

Express \frac{12}{23}\times 6 as a single fraction.

$$\frac{51675}{98}-\frac{12\times 6}{23}+369$$

Multiply 12 and 6 to get 72.

$$\frac{51675}{98}-\frac{72}{23}+369$$

Least common multiple of 98 and 23 is 2254. Convert \frac{51675}{98} and \frac{72}{23} to fractions with denominator 2254.

$$\frac{1188525}{2254}-\frac{7056}{2254}+369$$

Since \frac{1188525}{2254} and \frac{7056}{2254} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1188525-7056}{2254}+369$$

Subtract 7056 from 1188525 to get 1181469.

$$\frac{1181469}{2254}+369$$

Convert 369 to fraction \frac{831726}{2254}.

$$\frac{1181469}{2254}+\frac{831726}{2254}$$

Since \frac{1181469}{2254} and \frac{831726}{2254} have the same denominator, add them by adding their numerators.

$$\frac{1181469+831726}{2254}$$

Add 1181469 and 831726 to get 2013195.

$$\frac{2013195}{2254}$$

Factor

$$\frac{3 \cdot 5 \cdot 134213}{2 \cdot 7 ^ {2} \cdot 23} = 893\frac{373}{2254} = 893.1654835847382$$