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Fractions (Math) Solved Questions & Notes (2026) - Apex Rankers

General Competitive Exams > Math > Fractions

6 Total Solved Questions
~9 mins Estimated Reading Time
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Fractions

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Q. 1 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Solve:
\(\frac{5}{4}\div \frac{7}{8}\times \frac{1}{5}=?\)
A
\(\frac{7}{2}\)
B
\(\frac{2}{7}\)
✓ Correct
C
\(\frac{7}{50}\)
D
\(\frac{50}{7}\)
💡 Step-by-Step Explanation & Concept Rationale
5/4×8/7×1/5=(40/28)×1/5=8/28=2/7.
Q. 2 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Solve:
\(\frac{9}{10}\times \frac{2}{8}+\frac{1}{6}=?\)
A
\(\frac{47}{120}\)
✓ Correct
B
3/8
C
\(1\frac{19}{60}\)
D
\(4\frac{7}{10}\)
💡 Step-by-Step Explanation & Concept Rationale
18/80+1/6=9/40+1/6=(27+20)/120=47/120.
📜 Instructions / Reading Passage
1 Question in this set
QUANTITATIVE APTITUDE TEST (Understanding Numbers): Point out the correct mathematical choice for the provided problems involving basic number properties, simplification, and arithmetic rules.
Q. 3 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
9/10×2/8+1/6=?
A
47/120
✓ Correct
B
46237
C
1-19/60
D
46302
💡 Step-by-Step Explanation & Concept Rationale
18/80+1/6=9/40+1/6=(27+20)/120=47/120.
📜 Instructions / Reading Passage
3 Questions in this set
COMPLEX ARITHMETIC: Simplify the following continued fractions and multi-step expressions involving decimals and vulgar fractions.
Q. 4 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Express 1.008125 as Vulgar fraction in its lowest terms
A
$1\frac{13}{1600}$
✓ Correct
B
$1\frac{14}{1600}$
C
$1\frac{15}{1600}$
D
$1\frac{16}{1600}$
💡 Step-by-Step Explanation & Concept Rationale
If we convert Option a back into a decimal:
\(1\frac{13}{1600}=1+\frac{13}{1600}=1+0.008125=\mathbf{1.008125}\)
Q. 5 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Express 5 38/27 as a Continued Fraction:
A
5 + 1/(1 + 1/(2 + 1/(1 + 1/(2 + 1/5))))
✓ Correct
B
5 + 1/(2 + 1/(1 + 1/(3 + 1/4)))
C
5 + 1/(1 + 1/(3 + 1/(2 + 1/5)))
D
None of these
💡 Step-by-Step Explanation & Concept Rationale
Evaluating 5 + 38/27 by Euclidean algorithm gives the continued fraction sequence in Option (A).
Q. 6 Quantitative Aptitude Test
Difficulty: Medium (1 Mark)
Find value: $3\frac{10}{11}+5\frac{7}{15}-2\frac{9}{22}-4\frac{9}{10}$
A
$2\frac{1}{15}$
✓ Correct
B
$1\frac{1}{15}$
C
$3\frac{1}{16}$
D
$4\frac{2}{9}$
💡 Step-by-Step Explanation & Concept Rationale
Group the whole numbers:
\(3+5-2-4=\mathbf{2}\)
Group and combine the fractions:
\(\left(\frac{10}{11}-\frac{9}{22}\right)+\left(\frac{7}{15}-\frac{9}{10}\right)\)
Solve the first pair (LCM = 22):
\(\frac{20}{22}-\frac{9}{22}=\frac{11}{22}=\frac{1}{2}\)
Solve the second pair (LCM = 30):
\(\frac{14}{30}-\frac{27}{30}=-\frac{13}{30}\)
Combine the fraction results:
\(\frac{1}{2}-\frac{13}{30}=\frac{15}{30}-\frac{13}{30}=\frac{\mathbf{2}}{\mathbf{30}}\mathbf{=}\frac{\mathbf{1}}{\mathbf{15}}\)
Add the whole number back:
\(2+\frac{1}{15}=\mathbf{2}\frac{\mathbf{1}}{\mathbf{15}}\)
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