Andre says that 5 3/4 +2 1/4=7 because 7 4/8=71/2 what is his mistake ?
His biggest mistake was sleeping in 4th grade math class.
The second mistakes is he added denominators, only numerators add.
Thanks.
Thank you.
Andre's mistake lies in his incorrect addition of fractions. Let's break down the steps to identify the mistake:
To add the mixed fractions 5 3/4 and 2 1/4, we first need to convert them into improper fractions.
For 5 3/4:
Step 1: Multiply the whole number (5) by the denominator of the fraction (4) and add the numerator of the fraction (3) to get the new numerator.
5 × 4 + 3 = 20 + 3 = 23
Step 2: The denominator remains the same.
So, 5 3/4 is equal to 23/4.
For 2 1/4:
Step 1: Multiply the whole number (2) by the denominator of the fraction (4) and add the numerator of the fraction (1) to get the new numerator.
2 × 4 + 1 = 8 + 1 = 9
Step 2: The denominator remains the same.
So, 2 1/4 is equal to 9/4.
Now we can add these fractions: 23/4 + 9/4.
To add fractions with the same denominator, we simply add their numerators while keeping the denominator the same.
23/4 + 9/4 = (23 + 9)/4 = 32/4.
Simplifying the fraction 32/4 by dividing both the numerator and denominator by 4 gives us 8/1, which is equivalent to the whole number 8.
So, Andre's mistake lies in considering the fraction 7 4/8 as the result of adding the fractions, instead of properly simplifying it to 8/1 or 8.