Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 17, 2023

Find the least common denominator for $4/5 + 18/100$ .

STEP 1

Assumptions1. We are adding two fractions $4 /5$ and $18 /100$ . We need to find the least common denominator (LCD) of these two fractions

STEP 2

The denominators of the two fractions are5 and100. $Denominator\,1 =5$ $Denominator\,2 =100$

STEP 3

The least common denominator (LCD) is the least common multiple (LCM) of the two denominators.To find the LCM of two numbers, we need to find the multiples of each number and then find the smallest number that is common to both lists.

STEP 4

The multiples of are,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100, ...

STEP 5

The multiples of100 are100,200,300,400, ...

STEP 6

The least common multiple (LCM) of5 and100 is the smallest number that appears in both lists. In this case, it is100.
So, the least common denominator (LCD) of $4 /5$ and $18 /100$ is100.
The correct answer is (b)100.

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms