- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Find the equivalent fraction of $ \frac{3}{5} $ having

**(a)** denominator 20

**(b)** numerator 9

**(c)** denominator 30

**(d)** numerator 27

To do:

We have to find the equivalent fraction of \( \frac{3}{5} \) having

(a) denominator 20

(b) numerator 9

(c) denominator 30

(d) numerator 27

Solution:

Equivalent fractions:

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

Therefore,

(a) \( \frac{3}{5} \)

3 is in the numerator, multiply 4 in both numerator and denominator to get 20($5\times4=20$) as denominator.

$\frac{3 \times 4}{5\times 4}=\frac{12}{20}$

Therefore, the equivalent fraction of $\frac{3}{5}$ is $\frac {12}{20}$.

(b) \( \frac{3}{5} \)

3 is in the numerator, multiply 3 in both numerator and denominator to get 9($3\times3=9$) as numerator.

$\frac{3 \times 3}{5\times 3}=\frac{9}{15}$

Therefore, the equivalent fraction of $\frac{3}{5}$ is $\frac {9}{15}$.

(c) \( \frac{3}{5} \)

3 is in the numerator, multiply 6 in both numerator and denominator to get 30($5\times6=30$) as denominator.

$\frac{3 \times 6}{5\times 6}=\frac{18}{30}$

Therefore, the equivalent fraction of $\frac{3}{5}$ is $\frac {18}{30}$.

(d) \( \frac{3}{5} \)

3 is in the numerator, multiply 9 in both numerator and denominator to get 27($3\times9=27$) as numerator.

$\frac{3 \times 9}{5\times 9}=\frac{27}{45}$

Therefore, the equivalent fraction of $\frac{3}{5}$ is $\frac {27}{45}$.

- Related Questions & Answers
- Find ΔX which is added to numerator and denominator both of fraction (a/b) to convert it to another fraction (c/d) in C++
- C++ program to find ΔX which is added to numerator and denominator both of fraction (a/b) to convert it to another fraction (c/d)
- C program to represent numbers in numerator and denominator in string format
- Find four elements a, b, c and d in an array such that a+b = c+d in C++
- Find largest d in array such that a + b + c = d in C++
- Show that the following grammar is LR (1) S → A a |b A c |B c | b B a A → d B → d
- Sum of the series 1 + (1+3) + (1+3+5) + (1+3+5+7) + + (1+3+5+7+....+(2n-1)) in C++
- Sum of the series 1 + (1+3) + (1+3+5) + (1+3+5+7) + ...... + (1+3+5+7+...+(2n-1)) in C++
- Find the largest multiple of 2, 3 and 5 in C++
- C++ program to find the sum of the series (1*1) + (2*2) + (3*3) + (4*4) + (5*5) + … + (n*n)
- Count pairs (a, b) whose sum of cubes is N (a^3 + b^3 = N) in C++
- Show that the whole compilation process for statement A = B * C + 20, where A, B, C are of real types
- Find d to maximize the number of zeros in array c[] created as c[i] = d*a[i] + b[i] in C++
- Construct Quadruples, Triples, and Indirect Triples for the expression -(a + b) * (c + d) - (a + b + c)
- Find d to maximize the number of zeros in array c[] created as c[i] = d*a[i] + b[i] in Python
- Find sum of the series 1-2+3-4+5-6+7....in C++