Question

9) convert the given fractions into like fractions 1) 4/5, 3/10 2) 2/9, 1/6 3) 5/6, 4/5​

Answer 1

Step-by-step explanation:

4/5×10/10=40/50

3/10×5/5=15/50

2/9×6/6=12/54

1/6×9/9=9/54

5/6×5/5=25/30

4/5×6/6=24/30

fractions have same denominator are called like fractions

hope it helps

Answer 2

Answer:

• 4/5, 3/10  =  8/10 and 3/10
• 2/9, 1/6 = 4/18 and 3/18
• 5/6, 4/5​ =  25/30, and 24/30

Step-by-step explanation:

Conversion of fraction into like fractions

Step 1: Find the least common multiple of the denominators of the given fractions.  

Step 2: Using the least common multiple, make all the fractions like fractions.

• 4/5 and 3/10

LCM of 5 and 10 is 10

$\frac{4}{5} =\frac{4 \times 2}{5\times 2} = \frac{8}{10}$

So, 8/10 and 3/10 are like fractions.

• 2/9, 1/6

LCM of 9 and 6 is 18.

$\frac{2}{9} = \frac{2 \times 2}{9 \times 2} = \frac{4}{18} \\\frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18}$

So, 4/18 and 3/18 are like fractions.

5/6 , 4/5

LCM of 6 and 5 is 30.

$\frac{5}{6} =\frac{5\times 5}{6\times 5} =\frac{25}{30} \\\frac{4}{5} =\frac{4\times 6}{5\times 6} =\frac{24}{30}$

So, 25/30, and 24/30 are like fractions.