Simplifying a Ratio of Decimals Online Quiz

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Following quiz provides Multiple Choice Questions (MCQs) related to Simplifying a Ratio of Decimals. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers
Q 1 - Simplify the ratio 3.5:7.7 to its lowest terms.

Answer : A

Explanation

Step 1:

Given ratio 3.5:7.7 in fraction form = $\frac{3.5}{7.7}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{3.5}{7.7} = \frac{\left (3.5 \times 10 \right )}{\left ( 7.7 \times 10 \right )} = \frac{35}{77}$

Step 3:

Divide Numerator and Denominator with HCF of 35 and 77, which is 7

$\frac{35}{77} = \frac{\left (35 \div 7 \right )}{\left ( 77 \div 7 \right )} = \frac{5}{11}$

$\frac{5}{11}$ back in ratio form = 5:11

Step 4:

So, 3.5:7.7 = 5:11 in lowest terms

Q 2 - Simplify the ratio 1.2:1.36 to its lowest terms.

Answer : C

Explanation

Step 1:

Given ratio 1.2:1.36 in fraction form = $\frac{1.2}{1.36}$

Step 2:

Multiply Numerator and Denominator with 100 $\frac{1.2}{1.36} = \frac{\left (1.2 \times 100 \right )}{\left ( 1.36 \times 100 \right )} = \frac{120}{136}$

Step 3:

Divide Numerator and Denominator with HCF of 120 and 136, which is 8

$\frac{120}{136} = \frac{\left (120 \div 8 \right )}{\left ( 136 \div 8 \right )} = \frac{15}{17}$

$\frac{15}{17}$ back in ratio form = 15:17

Step 4:

So, 1.2:1.36 = 15:17 in lowest terms

Q 3 - Simplify the ratio 2.8:5.18 to its lowest terms.

Answer : D

Explanation

Step 1:

Given ratio 2.8:5.18 in fraction form = $\frac{2.8}{5.18}$

Step 2:

Multiply Numerator and Denominator with 100 $\frac{2.8}{5.18} = \frac{\left ( 2.8 \times 100 \right )}{\left ( 5.18 \times 100 \right )} = \frac{280}{518}$

Step 3:

Divide Numerator and Denominator with HCF of 280 and 518, which is 14

$\frac{280}{518} = \frac{\left ( 280 \div 14 \right )}{\left ( 518 \div 14 \right )} = \frac{20}{37}$

$\frac{20}{37}$ back in ratio form = 20:37

Step 4:

So, 2.8:5.18 = 20:37 in lowest terms

Q 4 - Simplify the ratio 5.6:72.8 to its lowest terms.

Answer : B

Explanation

Step 1:

Given ratio 5.6:72.8 in fraction form = $\frac{5.6}{72.8}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{5.6}{72.8} = \frac{\left ( 5.6 \times 10 \right )}{\left ( 72.8 \times 10 \right )} = \frac{56}{728}$

Step 3:

Divide Numerator and Denominator with HCF of 56 and 728, which is 56

$\frac{56}{728} = \frac{\left ( 56 \div 56 \right )}{\left ( 728 \div 56 \right )} = \frac{1}{13}$

$\frac{1}{13}$ back in ratio form = 1:13

Step 4:

So, 5.6:72.8 = 1:13 in lowest terms

Q 5 - Simplify the ratio 54.6:43.2 to its lowest terms.

Answer : C

Explanation

Step 1:

Given ratio 54.6:43.2 in fraction form = $\frac{54.6}{43.2}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{54.6}{43.2} = \frac{\left (54.6 \times 10 \right )}{\left ( 43.2 \times 10 \right )} = \frac{546}{432}$

Step 3:

Divide Numerator and Denominator with HCF of 546 and 432, which is 6

$\frac{546}{432} = \frac{\left ( 546 \div 6 \right )}{\left ( 432 \div 6 \right )} = \frac{91}{72}$

$\frac{91}{72}$ back in ratio form = 91:72

Step 4:

So, 54.6:43.2 = 91:72 in lowest terms

Q 6 - Simplify the ratio 1.4:4.9 to its lowest terms.

Answer : A

Explanation

Step 1:

Given ratio 1.4:4.9 in fraction form = $\frac{1.4}{4.9}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{1.4}{4.9} = \frac{\left ( 1.4 \times 10 \right )}{\left ( 4.9 \times 10 \right )} = \frac{14}{49}$

Step 3:

Divide Numerator and Denominator with HCF of 14 and 49, which is 7

$\frac{14}{49} = \frac{\left ( 14 \div 7 \right )}{\left ( 49 \div 7 \right )} = \frac{2}{7}$

$\frac{2}{7}$ back in ratio form = 2:7

Step 4:

So, 1.4:4.9 = 2:7 in lowest terms

Q 7 - Simplify the ratio 1.8:3.0 to its lowest terms.

Answer : D

Explanation

Step 1:

Given ratio 1.8:3.0 in fraction form = $\frac{1.8}{3.0}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{1.8}{3.0} = \frac{\left ( 1.8 \times 10 \right )}{\left ( 3.0 \times 10 \right )} = \frac{18}{30}$

Step 3:

Divide Numerator and Denominator with HCF of 18 and 30, which is 6

$\frac{18}{30} = \frac{\left ( 18 \div 6 \right )}{\left ( 30 \div 6 \right )} = \frac{3}{5}$

$\frac{3}{5}$ back in ratio form = 3:5

Step 4:

So, 1.8:3.0 = 3:5 in lowest terms

Q 8 - Simplify the ratio 2.8:9.1 to its lowest terms.

Answer : C

Explanation

Step 1:

Given ratio 2.8:9.1 in fraction form = $\frac{2.8}{9.1}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{2.8}{9.1} = \frac{\left ( 2.8 \times 10 \right )}{\left ( 9.1 \times 10 \right )} = \frac{28}{91}$

Step 3:

Divide Numerator and Denominator with HCF of 28 and 91, which is 7

$\frac{28}{91} = \frac{\left ( 28 \div 7 \right )}{\left ( 91 \div 7 \right )} = \frac{4}{13}$

$\frac{4}{13}$ back in ratio form = 4:13

Step 4:

So, 2.8:9.1 = 4:13 in lowest terms

Q 9 - Simplify the ratio 3.0:7.8 to its lowest terms.

Answer : B

Explanation

Step 1:

Given ratio 3.0:7.8 in fraction form = $\frac{3.0}{7.8}$

Step 2:

Multiply Numerator and Denominator with 10 $\frac{3.0}{7.8} = \frac{\left ( 3.0 \times 10 \right )}{\left ( 7.8 \times 10 \right )} = \frac{30}{78}$

Step 3:

Divide Numerator and Denominator with HCF of 30 and 78, which is 6

$\frac{30}{78} = \frac{\left ( 30 \div 6 \right )}{\left ( 78 \div 6 \right )} = \frac{5}{13}$

$\frac{5}{13}$ back in ratio form = 5:13

Step 4:

So, 3.0:7.8 = 5:13 in lowest terms

Q 10 - Simplify the ratio 1.2:1.48 to its lowest terms.

Answer : A

Explanation

Step 1:

Given ratio 1.2:1.48 in fraction form = $\frac{1.2}{1.48}$

Step 2:

Multiply Numerator and Denominator with 100 $\frac{1.2}{1.48} = \frac{\left ( 1.2 \times 10 \right )}{\left ( 1.48 \times 10 \right )} = \frac{120}{148}$

Step 3:

Divide Numerator and Denominator with HCF of 120 and 148, which is 4

$\frac{120}{148} = \frac{\left ( 120 \div 4 \right )}{\left ( 148 \div 4 \right )} = \frac{30}{37}$

$\frac{30}{37}$ back in ratio form = 30:37

Step 4:

So, 1.2:1.48 = 30:37 in lowest terms

simplifying_ratio_decimals.htm
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