Question

simplifying
to simplify a fraction, divide the numerator and the denominator by the greatest common factor
example: simplify the fraction $\frac{18}{27}$
the greatest common factor of 18 and 27 is 9.
divide the numerator and the denominator by 9.
$\frac{18}{27} div \frac{9}{9} = \frac{2}{3}$
simplify each fraction.
a. $\frac{4}{20}$ =
b. $\frac{5}{10}$ =
c. $\frac{14}{21}$ =
d. $\frac{9}{15}$ =
e. $\frac{16}{24}$ =
f. $\frac{18}{48}$ =
g. $\frac{16}{44}$ =
h. $\frac{9}{21}$ =
i. $\frac{25}{30}$ =
j. $\frac{8}{22}$ =
k. $\frac{12}{30}$ =
l. $\frac{5}{20}$ =

Explanation:

Step1: Find GCF of 4 and 20

GCF(4,20) = 4
$\frac{4}{20} \div \frac{4}{4} = \frac{1}{5}$

Step2: Find GCF of 5 and 10

GCF(5,10) = 5
$\frac{5}{10} \div \frac{5}{5} = \frac{1}{2}$

Step3: Find GCF of 14 and 21

GCF(14,21) = 7
$\frac{14}{21} \div \frac{7}{7} = \frac{2}{3}$

Step4: Find GCF of 9 and 15

GCF(9,15) = 3
$\frac{9}{15} \div \frac{3}{3} = \frac{3}{5}$

Step5: Find GCF of 16 and 24

GCF(16,24) = 8
$\frac{16}{24} \div \frac{8}{8} = \frac{2}{3}$

Step6: Find GCF of 18 and 48

GCF(18,48) = 6
$\frac{18}{48} \div \frac{6}{6} = \frac{3}{8}$

Step7: Find GCF of 16 and 44

GCF(16,44) = 4
$\frac{16}{44} \div \frac{4}{4} = \frac{4}{11}$

Step8: Find GCF of 9 and 21

GCF(9,21) = 3
$\frac{9}{21} \div \frac{3}{3} = \frac{3}{7}$

Step9: Find GCF of 25 and 30

GCF(25,30) = 5
$\frac{25}{30} \div \frac{5}{5} = \frac{5}{6}$

Step10: Find GCF of 8 and 22

GCF(8,22) = 2
$\frac{8}{22} \div \frac{2}{2} = \frac{4}{11}$

Step11: Find GCF of 12 and 30

GCF(12,30) = 6
$\frac{12}{30} \div \frac{6}{6} = \frac{2}{5}$

Step12: Find GCF of 5 and 20

GCF(5,20) = 5
$\frac{5}{20} \div \frac{5}{5} = \frac{1}{4}$

Answer:

a. $\frac{1}{5}$
b. $\frac{1}{2}$
c. $\frac{2}{3}$
d. $\frac{3}{5}$
e. $\frac{2}{3}$
f. $\frac{3}{8}$
g. $\frac{4}{11}$
h. $\frac{3}{7}$
i. $\frac{5}{6}$
j. $\frac{4}{11}$
k. $\frac{2}{5}$
l. $\frac{1}{4}$