#### Chapter 1 Elementary Arithmetic

Section 1.2 Fractional Arithmetic

# 1.2.3 Exercises

##### Exercise 1.2.618
Reduce the following fractions to the lowest terms:
1. $\frac{216}{240}$$=$
.
2. $\frac{36}{72}$$=$
.
3. $\frac{48}{144}$$=$
.
4. $\frac{-a+2b}{-4b+2a}$$=$
if $a$ not equals
.
Enter the fraction as numerator/denominator fully reduced and with positive denominator. Always place the signs in front of the fractions, and do not use brackets.

##### Exercise 1.2.619
Calculate and fully reduce the following expressions for appropriate numbers $a,b,x,y$:
1. $\frac{1}{2}-\frac{2}{7}+\frac{3}{8}+\frac{3}{4}$$=$
.
2. $\frac{3}{13}:\frac{7}{26}$$=$
.
3. $\left(1.\stackrel{‾}{4}·3-\frac{1}{2}\right)·\frac{6}{7}$$=$
.
Enter the fractions fully reduced and with positive numerator.

##### Exercise 1.2.620
Convert the following infinite repeating decimal fractions to fractions and fully reduce them:
1. $0.\stackrel{‾}{4}$$=$ .
2. $0.\stackrel{‾}{23}$$=$ .
3. $0.12\stackrel{‾}{34}$$=$ .
4. $0.\stackrel{‾}{9}$$=$ .
Enter the fractions fully reduced and with positive numerator.