is 3/4 + 2/5 = 9/15or 3/5 or both ?
3/4 + 2/5 = 15/20 + 8/20 = 23/20 = 2 3/20
3/4 + 2/5
you will need a common denominator, which is 20
so ..
3/4 + 2/5
= 15/20 + 8/20
= 23/20
I have no clue how you got your answers
To determine whether the sum of 3/4 and 2/5 is equal to 9/15, 3/5, or both, we can follow these steps:
Step 1: Find a common denominator for the fractions. In this case, the lowest common multiple (LCM) of 4 and 5 is 20.
Step 2: Convert both fractions to have this common denominator. The equivalent fractions would be:
3/4 = (3/4) * (5/5) = 15/20
2/5 = (2/5) * (4/4) = 8/20
Step 3: Add the resulting fractions:
15/20 + 8/20 = 23/20
So, the sum of 3/4 and 2/5 is equal to 23/20.
To check if 23/20 is equal to 9/15 or 3/5, we need to simplify the fraction 23/20:
Step 4: Simplify the fraction:
- Find the greatest common divisor (GCD) of the numerator (23) and the denominator (20). In this case, the GCD is 1.
- Divide both the numerator and the denominator by the GCD:
23 ÷ 1 / 20 ÷ 1 = 23/20
Therefore, 23/20 is in its simplified form and cannot be further reduced.
In conclusion, the sum of 3/4 and 2/5 is equal to 23/20, but it is not equivalent to 9/15 or 3/5.