Find the sum and reduce to lowest terms.
start fraction 5 over 8 end fraction plus start fraction 7 over 8 end fraction.
(1 point)
Responses
start fraction 12 over 8 end fraction
Image with alt text: start fraction 12 over 8 end fraction
start fraction 12 over 16 end fraction
Image with alt text: start fraction 12 over 16 end fraction
start fraction 3 over 4 end fraction
Image with alt text: start fraction 3 over 4 end fraction
start fraction 3 over 2 end fraction
The correct answer is:
Start fraction 3 over 4 end fraction.
Find the sum and reduce to lowest terms.
1 over 12 plus 3 over 12
(1 point)
Responses
4 over 12
Image with alt text: 4 over 12
4 over 24
Image with alt text: 4 over 24
1 over 4
Image with alt text: 1 over 4
1 over 3
Image with alt text: 1 over 3
To find the sum of the fractions, we need to have a common denominator. In this case, the common denominator is 8.
So, the given fractions can be written as:
5/8 + 7/8 = (5 + 7)/8 = 12/8
To reduce this fraction to its lowest terms, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
12/8 can be simplified as:
12 ÷ 4 / 8 ÷ 4 = 3/2
Therefore, the sum of 5/8 and 7/8 is 3/2.
To find the sum of the fractions, you need to add the numerators (the numbers on top) and keep the denominator (the number on the bottom) the same.
In this case, you have the fraction 5/8 plus the fraction 7/8.
To add the fractions, you add the numerators:
5/8 + 7/8 = 12/8
However, you need to reduce the fraction to its lowest terms by simplifying the numerator and denominator. In this case, both the numerator and denominator are divisible by 4:
12/8 = (12 ÷ 4) / (8 ÷ 4) = 3/2
So, the sum of 5/8 plus 7/8 is 3/2.