Solve 10.85-2.3(5.2)div3.2

$$10.85 - 2.3 ( 5.2 ) \div 3.2$$

Evaluate

$$7.1125$$

Solution Steps

Multiply 2.3 and 5.2 to get 11.96.

$$10.85-\frac{11.96}{3.2}$$

Expand \frac{11.96}{3.2} by multiplying both numerator and the denominator by 100.

$$10.85-\frac{1196}{320}$$

Reduce the fraction \frac{1196}{320} to lowest terms by extracting and canceling out 4.

$$10.85-\frac{299}{80}$$

Convert decimal number 10.85 to fraction \frac{1085}{100}. Reduce the fraction \frac{1085}{100} to lowest terms by extracting and canceling out 5.

$$\frac{217}{20}-\frac{299}{80}$$

Least common multiple of 20 and 80 is 80. Convert \frac{217}{20} and \frac{299}{80} to fractions with denominator 80.

$$\frac{868}{80}-\frac{299}{80}$$

Since \frac{868}{80} and \frac{299}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{868-299}{80}$$

Subtract 299 from 868 to get 569.

$$\frac{569}{80}$$

Factor

$$\frac{569}{5 \cdot 2 ^ {4}} = 7\frac{9}{80} = 7.1125$$