Solution:Rewriting input together fractions if necessary:3/2, 3/8, 5/6, 3/1For the denominators (2, 8, 6, 1) the least common multiple (LCM) is 24.

You are watching: Write the pair of fractions with a common denominator

LCM(2, 8, 6, 1)Therefore, the least common denominator (LCD) is 24.Calculations come rewrite the initial inputs as identical fractions with the LCD:
*

*

Calculator Use

Use this Least common Denominator Calculator to find the lowest usual denominator (LCD) that fractions, integers and mixed numbers. Recognize the LCD is important since fractions need to have actually the same denominator once you space doing enhancement or individually math with fractions.

See more: How Do You Make A Lizard In Little Alchemy, How To Make Lizard In Little Alchemy

What is the Least common Denominator?

The least usual denominator (LCD) is the smallest number that have the right to be a common denominator for a set of fractions. Additionally known together the lowest common denominator, that is the shortest number you deserve to use in the denominator to produce a set of equivalent fractions that all have actually the same denominator.

How to discover the LCD that Fractions, Integers and also Mixed Numbers:

To uncover the least usual denominator an initial convert every integers and mixed number (mixed fractions) right into fractions. Then find the lowest usual multiple (LCM) the the denominators. This number is exact same as the least usual denominator (LCD).You can then compose each term as an equivalent portion with the exact same LCD denominator.

Steps to discover the LCD of fractions, integers and also mixed numbers

transform integers and mixed numbers to wrong fractions discover the LCD of all the fountain Rewrite fountain as equivalent fractions utilizing the LCD

Example utilizing the Lowest usual Denominator Calculator

Find the LCD of: 1 1/2, 3/8, 5/6, 3

transform integers and mixed numbers to wrong fractions. 3/8 and also 5/6 are currently fractions therefore we have the right to use those together they space written. 1 1/2 is the exact same as (1/1) + (1/2). Making use of the formula for including fractions, ((n1*d2)+(n2*d1)) / (d1*d2), we acquire ((1*2)+(1*1)) / (1*2) = 3/2. 3 can be rewritten together a fraction as 3/1 tantamount fractions are: 3/2, 3/8, 5/6, 3/1 Now uncover the least common denominator (LCD) (or the least usual multiple (LCM) the the denominators) LCD = 24 Rewriting the fractions as equivalent fractions making use of the LCD 36/24, 9/24, 20/24, 72/24

Related Calculators

We likewise have calculators because that least common multiple, math through fractions, simplifying fractions, mathematics with combined numbers, and also comparing fractions.