7 2/3 + -5 1/4
To add the fractions 7 2/3 and -5 1/4, first convert the mixed numbers to improper fractions.
7 2/3 = (7 * 3 + 2)/3 = 23/3
-5 1/4 = (-5 * 4 + 1)/4 = -19/4
Now we can add the fractions:
23/3 + (-19/4)
To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 3 and 4 is 12.
Multiply the numerator and denominator of the first fraction by 4:
(23/3) * (4/4) = 92/12
Multiply the numerator and denominator of the second fraction by 3:
(-19/4) * (3/3) = -57/12
Now we can add the fractions:
92/12 + (-57/12) = (92 - 57)/12 = 35/12
Therefore, 7 2/3 + -5 1/4 = 35/12
simplfy???????????????
To simplify the fraction 35/12:
Since 35 and 12 have no common factors other than 1, the fraction 35/12 is already in its simplest form.
Therefore, the simplified form of 35/12 is 35/12.
ok here r ur choices
-2
2 5/12
123
2 11/2
12 11/12
To determine the simplified form of 35/12 among the given choices, we can see that 35/12 is closest to the mixed number 2 11/2.
Therefore, the simplified form of 35/12 is 2 11/2.
are u sure
My apologies for the incorrect response.
To simplify 35/12, we can begin by finding the greatest common divisor (GCD) of 35 and 12, which is 1.
Since the GCD is 1, the fraction 35/12 is already in its simplest form.
Therefore, the simplified form of 35/12 is 35/12.
ok ur choices are
-2
2 5/12
123
2 11/12
12 11/12
Apologies for the mistake. Let's simplify the fraction 35/12 again and compare it to the given choices.
To simplify 35/12, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 1.
35/12 = (35 ÷ 1) / (12 ÷ 1) = 35/12
Therefore, the simplified form of 35/12 is 35/12. None of the given choices match this simplified form.
To add 7 2/3 and -5 1/4, you need to add the whole numbers separately from the fractions. Let's break it down step by step:
1. Add the whole numbers:
7 + (-5) = 2
2. Add the fractions:
2/3 + (-1/4)
To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is the product of both denominators, which is 3 * 4 = 12.
3. Convert fractions to have a common denominator:
2/3 = (2 * 4) / (3 * 4) = 8/12
-1/4 = (-1 * 3) / (4 * 3) = -3/12
4. Add the fractions together:
8/12 + (-3/12) = 5/12
5. Add the result from step 1 to the result from step 4:
2 + 5/12
Now, we have a mixed number in the form of a whole number plus a fraction. To express it as a single mixed number, follow these steps:
6. Find the numerator of the new fraction:
Multiply the whole number by the denominator and add it to the numerator:
2 * 12 = 24
24 + 5 = 29
7. Write the mixed number:
2 + 5/12 = 2 5/12
Therefore, 7 2/3 + -5 1/4 equals 2 5/12.