7 7/8 + 2 11/12
Change the fractions to equivalent fractions with the common denominator of 24.
sorry wrong question!the question was which is a good comparison of the sum and the estimated sum of 7 7/8 + 2 11/12?
What are your choices?
A. Estimated < Actual
B. Actual > Estimated
C. Actual = estimated
D. Estimated > Actual
What were your estimate and actual answers?
is it B?
OH NO! I meant to say is it D?
NO that's not what I wanted to say eiher sorry!
I meant what I said the first time.
To add mixed numbers like 7 7/8 and 2 11/12, you need to follow these steps:
1. Convert the mixed numbers to improper fractions.
- To convert 7 7/8 to an improper fraction, multiply the whole number (7) by the denominator (8) and add the numerator (7). This gives us (7 * 8 + 7) / 8 = 63/8.
- To convert 2 11/12 to an improper fraction, multiply the whole number (2) by the denominator (12) and add the numerator (11). This gives us (2 * 12 + 11) / 12 = 35/12.
2. Find a common denominator.
- In this case, the common denominator is 8 * 12 = 96.
3. Adjust the fractions to have the common denominator.
- Multiply the numerator and denominator of 63/8 by 12, which gives us (63 * 12) / (8 * 12) = 756/96.
- Multiply the numerator and denominator of 35/12 by 8, which gives us (35 * 8) / (12 * 8) = 280/96.
4. Add the adjusted fractions.
- Add 756/96 and 280/96: (756 + 280) / 96 = 1036/96.
5. Simplify if necessary.
- In this case, the fraction 1036/96 is not in simplest form. To simplify it, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.
- The GCD of 1036 and 96 is 4. Dividing both the numerator and denominator by 4 gives us 259/24.
So, 7 7/8 + 2 11/12 = 259/24.