What is the difference between 126 1/4 and 78 2/3?
A. 57 7/12
B. 48 1/3
C. 47 7/12
D. 58 5/12
I think it's C , but i really don't understand fractions, if i'm wrong could you possibly elaborate what i did wrong and how to fix it
To add and subtract fractions, we need to use equivalent fractions with the same denominator.
Study this site.
http://www.mathsisfun.com/numbers/fractions-mixed-addition.html
126 1/4 minus 78 2/3
126 3/12 - 78 8/12
Now we need to change the first number to 125 15/12
125 15/12 - 78 8/12 = ?
To find the difference between the given numbers, 126 1/4 and 78 2/3, you need to subtract the second number from the first number. Here's how you can do it:
First, convert both numbers to improper fractions. To convert a mixed number (whole number + fraction) to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the numerator. Place this sum over the denominator.
For 126 1/4:
126 * 4 = 504
504 + 1 = 505
So, 126 1/4 as an improper fraction is 505/4.
For 78 2/3:
78 * 3 = 234
234 + 2 = 236
So, 78 2/3 as an improper fraction is 236/3.
Now, subtract the second number from the first number:
505/4 - 236/3
To subtract fractions, you need to have a common denominator. In this case, since the denominators are 4 and 3, the common denominator is 12 (4 * 3 = 12).
Now, rewrite the fractions with a common denominator:
505/4 = (505/4) * (3/3) = 1515/12
236/3 = (236/3) * (4/4) = 944/12
Now, subtract the numerators:
1515/12 - 944/12 = (1515 - 944) / 12 = 571/12
So, the difference between 126 1/4 and 78 2/3 is 571/12.
Now, let's check the answer choices:
A. 57 7/12
B. 48 1/3
C. 47 7/12
D. 58 5/12
The correct answer is C. 47 7/12.
You initially thought the answer was C, which is the correct answer. You were right! To check your answer, you can follow the steps I explained above to verify that your calculations are correct.