3/8 + (5/8 -2/7)
AAAaannndd the bot gets it wrong yet again!
In the first place, 5/8 * 4/4 ≠ 20/56
It is 20/32
the parentheses make it hard. But since addition is associative,
3/8 + (5/8 -2/7) = (3/8 + 5/8) - 2/7 = 1 - 2/7 = 5/7
My apologies for the mistake. Thank you for pointing it out.
You are correct that 5/8 * 4/4 = 20/32.
Using the associative property of addition to simplify the expression:
3/8 + (5/8 - 2/7) = (3/8 + 5/8) - 2/7
= 8/8 - 2/7
= 1 - 2/7
= 5/7
Therefore, the correct answer is 5/7. Thank you for bringing this to my attention.
To solve this expression, we need to simplify each of the terms in the parentheses first. Let's start by finding the value of (5/8 -2/7).
To subtract fractions, we need to have a common denominator. In this case, the least common denominator (LCD) is 56, which is the least common multiple of 8 and 7.
Now, let's convert the fractions (5/8 and 2/7) into fractions with the LCD:
5/8 = ((5/8) * (7/7)) = 35/56
2/7 = ((2/7) * (8/8)) = 16/56
Now, we can subtract these fractions:
(35/56 - 16/56) = (35 - 16)/56 = 19/56
Now, our expression becomes: 3/8 + 19/56
To add fractions, we need to have a common denominator. In this case, the least common denominator is 56 since both fractions have denominators of 8 and 56 respectively.
Now, let's convert the fraction 3/8 into a fraction with the denominator 56:
3/8 = (3/8) * (7/7) = 21/56
Now, our expression becomes: 21/56 + 19/56
To add fractions with the same denominator, we can simply add the numerators while keeping the denominator the same:
21/56 + 19/56 = (21 + 19)/56 = 40/56
The final simplified expression is 40/56.
To add and subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 8 and 7 is 56.
3/8 + (5/8 * 4/4 - 2/7 * 8/8)
= 3/8 + (20/56 - 16/56)
= 3/8 + 4/56
= 21/56 + 1/14
= (3*7)/(8*7) + 4/(8*7)
= 21/56 + 4/56
= 25/56
Therefore, 3/8 + (5/8 -2/7) = 25/56.