simplify each. write your answer as a mixed number when possible.
33) $\frac{24}{30}$
34) $\frac{90}{144}$
35) $\frac{18}{24}$
36) $\frac{42}{48}$
37) $\frac{6}{18}$
38) $\frac{30}{48}$
39) $\frac{28}{32}$
40) $\frac{36}{45}$

Question

Accepted Answer

# Explanation:
## Step1: Find GCD of 24 and 30
GCD(24,30)=6; divide numerator/denominator by 6
$\frac{24\div6}{30\div6}=\frac{4}{5}$
## Step2: Find GCD of 90 and 144
GCD(90,144)=18; divide numerator/denominator by 18
$\frac{90\div18}{144\div18}=\frac{5}{8}$
## Step3: Find GCD of 18 and 24
GCD(18,24)=6; divide numerator/denominator by 6
$\frac{18\div6}{24\div6}=\frac{3}{4}$
## Step4: Find GCD of 42 and 48
GCD(42,48)=6; divide numerator/denominator by 6
$\frac{42\div6}{48\div6}=\frac{7}{8}$
## Step5: Find GCD of 6 and 18
GCD(6,18)=6; divide numerator/denominator by 6
$\frac{6\div6}{18\div6}=\frac{1}{3}$
## Step6: Find GCD of 30 and 48
GCD(30,48)=6; divide numerator/denominator by 6
$\frac{30\div6}{48\div6}=\frac{5}{8}$
## Step7: Find GCD of 28 and 32
GCD(28,32)=4; divide numerator/denominator by 4
$\frac{28\div4}{32\div4}=\frac{7}{8}$
## Step8: Find GCD of 36 and 45
GCD(36,45)=9; divide numerator/denominator by 9
$\frac{36\div9}{45\div9}=\frac{4}{5}$

# Answer:
33) $\frac{4}{5}$
34) $\frac{5}{8}$
35) $\frac{3}{4}$
36) $\frac{7}{8}$
37) $\frac{1}{3}$
38) $\frac{5}{8}$
39) $\frac{7}{8}$
40) $\frac{4}{5}$

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Question

Explanation:

Step1: Find GCD of 24 and 30

Step2: Find GCD of 90 and 144

Step3: Find GCD of 18 and 24

Step4: Find GCD of 42 and 48

Step5: Find GCD of 6 and 18

Step6: Find GCD of 30 and 48

Step7: Find GCD of 28 and 32

Step8: Find GCD of 36 and 45

Answer: