Simplifying a Ratio of Whole Numbers Problem Type1 Online Quiz



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Questions and Answers
Q 1 - Reduce the ratio 10:26 to its lowest terms.

Answer : A

Explanation

Step 1:

Ratio 10:26 in fraction form is $\frac{10}{26}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 10 and 26, which is 2 $\frac{10}{26} = \frac{10 \div 2}{26 \div 2} = \frac{5}{13}$.

$\frac{5}{13}$ in ratio form is 5:13

Step 3:

So, 10:26 in its lowest terms is 5:13

Q 2 - Reduce the ratio 16:56 to its lowest terms.

Answer : C

Explanation

Step 1:

Ratio 16:56 in fraction form is $\frac{16}{56}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 16 and 56, which is 8 $\frac{16}{56} = \frac{16 \div 8} {56 \div 8} = \frac{2}{7}$.

$\frac{2}{7}$ in ratio form is 2:7

Step 3:

So, 16:56 in its lowest terms is 2:7

Q 3 - Reduce the ratio 18:40 to its lowest terms.

Answer : B

Explanation

Step 1:

Ratio 18:40 in fraction form is $\frac{18}{40}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 18 and 40, which is 2 $\frac{18}{40} = \frac{18 \div 2} {40 \div 2} = \frac{9}{20}$.

$\frac{9}{20}$ in ratio form is 9:20

Step 3:

So, 18:40 in its lowest terms is 9:20

Q 4 - Reduce the ratio 15:65 to its lowest terms.

Answer : D

Explanation

Step 1:

Ratio 15:65 in fraction form is $\frac{15}{65}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 15 and 65, which is 5 $\frac{15}{65} = \frac{15 \div 5}{65 \div 5} = \frac{3}{13}$.

$\frac{3}{13}$ in ratio form is 3:13

Step 3:

So, 15:65 in its lowest terms is 3:13

Q 5 - Reduce the ratio 14:48 to its lowest terms.

Answer : C

Explanation

Step 1:

Ratio 14:48 in fraction form is $\frac{14}{48}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 14 and 48, which is 2 $\frac{14}{48} = \frac{14 \div 2} {48 \div 2} = \frac{7}{24}$.

$\frac{7}{24}$ in ratio form is 7:24

Step 3:

So, 14:48 in its lowest terms is 7:24

Q 6 - Reduce the ratio 18:45 to its lowest terms.

Answer : A

Explanation

Step 1:

Ratio 18:45 in fraction form is $\frac{18}{45}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 18 and 45, which is 9 $\frac{18}{45} = \frac{18 \div 9} {45 \div 9} = \frac{2}{5}$.

$\frac{2}{5}$ in ratio form is 2:5

Step 3:

So, 18:45 in its lowest terms is 2:5

Q 7 - Reduce the ratio 20:70 to its lowest terms.

Answer : B

Explanation

Step 1:

Ratio 20:70 in fraction form is $\frac{20}{70}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 20 and 70, which is 10

$\frac{20}{70} = \frac{20 \div 10} {70 \div 10} = \frac{2}{7}$.

$\frac{2}{7}$ in ratio form is 2:7

Step 3:

So, 20:70 in its lowest terms is 2:7

Q 8 - Reduce the ratio 21:56 to its lowest terms.

Answer : D

Explanation

Step 1:

Ratio 21:56 in fraction form is $\frac{21}{56}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 21 and 56, which is 7 $\frac{21}{56} = \frac{21 \div 7}{56 \div 7} = \frac{3}{8}$.

$\frac{3}{8}$ in ratio form is 3:8

Step 3:

So, 21:56 in its lowest terms is 3:8

Q 9 - Reduce the ratio 12:54 to its lowest terms.

Answer : A

Explanation

Step 1:

Ratio 12:54 in fraction form is $\frac{12}{54}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 12 and 54, which is 6 $\frac{12}{54} = \frac{12 \div 6} {54 \div 6} = \frac{2}{9}$.

$\frac{2}{9}$ in ratio form is 2:9

Step 3:

So, 12:54 in its lowest terms is 2:9

Q 10 - Reduce the ratio 25:90 to its lowest terms.

Answer : B

Explanation

Step 1:

Ratio 25:90 in fraction form is $\frac{25}{90}$

Step 2:

To simplify the fraction, we divide numerator and denominator with the HCF of 25 and 90, which is 5 $\frac{25}{90} = \frac{25 \div 5} {90 \div 5} = \frac{5}{18}$.

$\frac{5}{18}$ in ratio form is 5:18

Step 3:

So, 25:90 in its lowest terms is 5:18

simplifying_ratio_whole_numbers_problem_type1.htm
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