34.8k views
3 votes
1/4+2/9 what is the answer

1/4+2/9 what is the answer-example-1
User Lsalamon
by
7.8k points

2 Answers

2 votes
We need to equalize denominator of both fraction. I will change the denominator to 36.

1) From the first fraction 1/4, to change the denominator to 36, we should multiply the denominator by 9. If the denominator multiplied by 9, so did the numerator
1/4 = (1 × 9)/(4 × 9)
1/4 = 9/36

2) From the second fraction 2/9, to change the denominator to 36, we should multiply the denominator by 4. If the denominator multiplied by 4, so did the numerator
2/9 = (2 × 4)/(9 × 4)
2/9 = 8/36

Now add the fraction
1/4 + 2/9
= 9/36 + 8/36
= 17/36
This is the final answer
4 votes
Simplify the following:
1/4 + 2/9
Put 1/4 + 2/9 over the common denominator 36. 1/4 + 2/9 = 9/36 + (4×2)/36:
9/36 + (4×2)/36
4×2 = 8:
9/36 + 8/36
9/36 + 8/36 = (9 + 8)/36:
(9 + 8)/36
9 + 8 = 17:
Answer: 17/36
User Frazell Thomas
by
7.7k points