Question

What is the answer to 1/4+2/5 add steps​

Answer 1

Hello!

Answer:

`\Large \boxed{\sf (13)/(20) }`

Explanation:

→ We want to simplify:

`\sf (1)/(4) + (2)/(5)`

◼ Find the least common multiple:

4: 4, 8, 12, 16, 20, 24, 28...

5: 5, 10, 15, 20, 25

So the LCM of 4 and 5 is 20.

◼ Apply the least common multiple:

`\sf (1* 5)/(4* 5 ) + (2* 4)/(5* 4)`

◼ Simplify the fractions:

`\sf (5)/(20) + (8)/(20)`

◼ Add fractions:

`\boxed{\sf (13)/(20) }`

Conclusion:

The expression 1/4 + 2/5 is equal to 13/20.

Answer 2

To add two fractions that do not have a common denominator, put both fractions on the same denominator.

WARNING: when you multiply the denominator by a number, you must multiply the numerator by the same number.

here the common denominator: 20 because 4*5=20

1/4 + 2/5 =

(1*5)/(4*5) + (2*4)/(4*5) =

5/20 + 8/20 = 13/20

⇒ 1/4 + 2/5 = 13/20