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Unlike Fractions

Updated on January 30, 2023 by sue

Unlike fractions: Two fractions are called as unlike fractions, if the denominators of those fractions are different.

Example: 1/5 and 3/6, here both the fractions have different denominators, so they are unlike fractions.

The Unlike fractions are dissimilar fractions, that is they have differences in the numerator or the denominator.

Students can learn more about dissimilar fractions on Fractions help which speak about the differences and the rules to be followed accordingly. The following is an example showing the operation of addition, subtraction, multiplication and division with Unlike fractions. Students can solve other problems on the same lines.

  • Fractions
  • Simplify Fractions
  • Adding Fractions
  • Multiplying Fractions
  • Subtracting Fractions
  • Dividing Fractions
  • Proper Fractions
  • Improper Fractions
  • Mixed Fractions
  • Like Fractions
  • Unlike Fractions
  • Fraction Calculator
  • Fraction Simplifier
  • Mixed Fraction Calculator
  • Convert Fraction to Decimal
  • Convert Decimal to Fraction

Unlike Fractions Definition

Unlike fraction means nothing but when the denominators of more fractions having different value it is called as unlike fractions. When the fraction are in unlike fraction we can convert to like fractions for easy simplification and also getting proper fraction result.

Examples : unlike fractions – 29/5, 9/8, 8/3.

Adding and Subtracting Fractions with Unlike Denominators

Below you could see adding unlike fractions and subtracting unlike fractions with following steps:

  • Step 1: Find the LCM of denominators.
  • Step 2: Convert all of the known fractional number into an equivalent fraction with the same LCM as denominator.
  • Step 3: Taking LCM as the common denominator include each and every one the numerators.

Examples:

Question 1: 3/5 + 1/2

Solution:

Step 1: LCM of 5 and 2 = 10

Step 2: 3×2/5×2 + 3×2/5×2

1×5/2×5 = 6/10 + 5/10

Step 3: 6+5/10

= 11/10

Question 2: 3/7 – 1/3

Solution:

Step 1: LCM of 7 and 3 = 21

Step 2: 3×3/7×3 – 1×7/3×7

= 9/21 – 7/21

Step 3: 9−7/21

= 2/21

Multiplying Fractions with Unlike Denominators

Steps to follow for multiplying fractions with unlike denominators:

  • Step 1: Write the given fraction numbers for the multiplication.
  • Step 2: Multiply the numerator(top numbers) and denominators(bottom numbers) of the given fractions.
  • Step 3: Simplify it further.

Multiplying fractions with unlike denominators Example:

Question: 3/5 x 7/11

Solution:

Step 1: Given fractions are: 3/5 and 7/11

Step 2: 3×7/5×11

Step 3: 21/55

Dividing Fractions with Unlike Denominators

Steps to follow for Dividing Fractions with Unlike Denominators:

  • Step 1: Write the given fraction numbers for division.
  • Step 2: Write the reciprocal of second fraction.
  • Step 3: Multiply the numerator(top numbers) and denominators (bottom numbers) of the first fraction and reciprocal of second fraction.
  • Step 4: Simplify it further.

Dividing Fractions with Unlike Denominators Example:

Question: Divide 5/7 by 3/2

Solution:

Step 1: Given fractions are 5/7 and 3/2

Step 2: Reciprocal of 3/2 = 2/3

Step 3: 5×2/7×3

Step 4: 10/21

Unlike Fractions Calculator

Use our unlike fractions calculator for adding, multiplying, dividing and subtracting fractions with unlike denominators. Enter values in unlike fractions calculator, then select a math operation and click on calculate button. It shows step by step solution along with final result.

Unlike fraction calculator

A fraction is a number that can represent part of a whole. The fractions are reciprocals of integers, symbols representing one half, one third, one quarter, and so on.

Three Types of fractions are proper, improper and mixed.

  • Proper fractions – The fractions where numerator is less than the denominator are called proper fractions.Example: 2/5.
  • Improper fractions – The fractions where numerator is greater than the denominator are called improper fractions. Example: 13/5.
  • Mixed fractions – It has a combination of a whole number and a proper fraction.Example: 3 1/2

Related Posts

  • Proper Fractions
  • Fraction Calculator
  • Fraction Simplifier
  • Like Fractions

Filed Under: Math

About Sue

Sue is a content maker and web perf analyst. She authors in-depth guides on SSC, UPSC, MBA, Engineering, Govt Jobs, Bank exams and Financial Calculators. You can find her on Pinterest or directly contact via e-mail.

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