Question

What's the difference between 1261⁄4 and 78 2⁄3?

A. 58 5⁄12
B. 48 1⁄3
C. 47 7⁄12
D. 57 7⁄12

Answer 1

To find the difference between 126 1/4 and 78 2/3, convert them into improper fractions, find a common denominator, and subtract. The difference is 47 7/12, which corresponds to option C.

Step-by-step explanation:

The difference between 126 1/4 and 78 2/3 can be calculated by converting these numbers into improper fractions and then subtracting them. First, convert each mixed number to an improper fraction:

126 1/4 = (126 × 4 + 1)/4 = 505/4

78 2/3 = (78 × 3 + 2)/3 = 236/3

Next, find a common denominator for the fractions, which in this case is 12, and convert both fractions:

505/4 = (505 × 3)/(4 × 3) = 1515/12

236/3 = (236 × 4)/(3 × 4) = 944/12

Now, subtract the smaller fraction from the larger one:

1515/12 - 944/12 = 571/12

Convert the resulting improper fraction back to a mixed number:

571/12 = 47 × 12 + 7 = 47 7/12

Therefore, the difference is 47 7/12, which corresponds to option C.

Answer 2

So we want to know the difference between a= 126 1/4 and b= 78 2/3. Lets turn them into a fraction: a = 124*4 + 1/4 = 496/4 + 1/4 = 495/4. b= 78*3 + 2/3 = 234/3 + 2/3 = 236/3. Now we find the common denominator of a and b: and that is 12. so lets multiply a by 3/3 and b by 4/4: (495/4)*(3/3)=1485/12. (236/3)*(4/4)=944/12. Now the difference is: 1485/12 - 944/12=541/12 and that is: 45 1/12