7 2/3+−5 1/4 simplify

Answer 1

To add or subtract fractions, we need to have a common denominator.

For the given expression, the common denominator is 12, as it is divisible by both 3 and 4.

Now we convert 7 2/3 into an improper fraction:

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Also, we convert -5 1/4 into an improper fraction:

-5 1/4 = (-5 * 4 + 1) / 4 = -21/4

Now, the given expression becomes:

23/3 + (-21/4)

To add or subtract fractions, the denominators must be the same.

The least common multiple of 3 and 4 is 12, and we need to modify both fractions to have a denominator of 12:

(23/3) * (4/4) = 92/12
(-21/4) * (3/3) = -63/12

Now the expression becomes:

92/12 + (-63/12)

Combine the numerators:

92 - 63 = 29

The final expression is:

29/12

Answer 2

simplify and write as a mixed fraction

Answer 3

To simplify the fraction 29/12 and write it as a mixed fraction, we divide the numerator (29) by the denominator (12).

29 ÷ 12 = 2 remainder 5

The quotient is the whole number, which is 2, and the remainder is the numerator of the fraction part, which is 5. The denominator remains the same.

Therefore, the simplified mixed fraction for 29/12 is:

2 5/12