# Chapter 1 - Section 1.2 - Fractions in Algebra - Exercise Set: 65

6

#### Work Step by Step

$6\frac{3}{5} \div 1\frac{1}{10}$ First convert the mixed fractions into improper fractions $\frac{33}{5} \div \frac{11}{10}$ Change division to multiplication. Invert $\frac{11}{10}$ and write its reciprocal. $\frac{33}{5}$ * $\frac{10}{11}$ = $\frac{33*10}{5*11}$ = $\frac{330}{55}$ Since 55 is the greatest common factor of 330 and 55, divide numerator and denominator by 55 $\frac{6*55}{1*55}$ = 6

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