Question

convert the following into like fraction 3/7, 5/9, 2/3​

Answer 1

Step-by-step explanation:

Example: Add 1/3 and 3/4

Solution: 1/3 + 3/4

By cross multiplication method, we get;

=[(1 x 4) + (3 x 3)]/3 x 4

=(4 + 9)/12

=13/12

In the LCM method, first, we need to take the LCM of denominators of the given fractions. Now using this LCM, make all the fractions as like fractions. Then we can simplify the numerator.Example: Add 3/8 and 5/12

Solution: 3/8 + 5/12

Now take the LCM of 8 and 12, we get;

LCM (8, 12) = 2 x 2 x 2 x 3 = 24

Now multiply the given fractions to get the denominators equal to 24, such that;

=[(3 x 3)/(8 x 3)] + [(5 x 2) + (12 x 2)]

=(9/24) + (10/24)

=(9+10)/24

=19/24.A proper fraction is a fraction that has a value less than 1. Or we can say, when the value of the numerator is less than the denominator, then such fractions are called proper fractions—for example, 1/2, 1/3, 4/5, 6/7, 8/9, etc.

An improper fraction is a fraction whose value is more than 1. When the value of the numerator is greater than the value of denominator, then the fraction is known as improper fractions. For example, 3/2, 5/4, 4/3. 8/3, etc.Find the LCM of the denominators. LCM of 1, 5, 10 and 2 is 10.

Calculate their equivalent fractions with the same denominator, that is, the LCM.

1/1 = (1×10)/(1×10) = 10/10

4/5 = (4×2)/(5×2) = 8/10

7/10 = (7×1)/(10×1) = 7/10

1/2 = (1×5)/(2×5) = 5/10

1, 4/5, 7/10 and 1/2 are unlike fractions, which can be represented as 10/10, 8/10, 7/10 and 5/10 which are like fractions.When a number is a combination of a whole number and a proper fraction, then it is called a mixed fraction. For example:

Mixed fraction