Please help,Math,Problem;John and George together raked 7/8 of the yard. John raked 3/4 of that amount. What part of the yard did John rake?
John and Georgie together raked 7/8 of the yard John raked 3/4 of that amount what part of the yard did John rake
To find out what part of the yard John raked, we can follow these steps:
Step 1: Find out what part of the yard John and George raked together.
Since John and George together raked 7/8 of the yard, we can subtract John's portion from the total.
Total portion John and George raked = 7/8
Step 2: Find out John's portion.
We know that John raked 3/4 of the amount that John and George raked together. So, we can multiply 7/8 by 3/4 to find John's portion.
John's portion = (7/8) * (3/4)
Step 3: Simplify the fraction.
To simplify the fraction, we can multiply the numerators and denominators.
John's portion = (7 * 3) / (8 * 4) = 21/32
Therefore, John raked 21/32 of the yard.
To find out what part of the yard John raked, you can follow these steps:
Step 1: Add the fractions representing the amount of the yard John and George together raked.
7/8 + 3/4 = ?
Step 2: Find a common denominator for the fractions, which is the least common multiple of 8 and 4. In this case, the least common multiple is 8.
Step 3: Convert both fractions to have a denominator of 8.
7/8 + 3/4 = (7/8) + (3/4) × (2/2) = 7/8 + 6/8
Step 4: Add the numerators together while keeping the denominator the same.
7/8 + 6/8 = 13/8
Step 5: Simplify the fraction, if needed. In this case, the fraction cannot be simplified further.
13/8 → No further simplification
Therefore, John and George together raked 13/8 of the yard. But since it's not possible to have more than one whole yard, we can conclude that John raked 13/8 of the yard.