simplify
7 2/3+ -5 1/4
To simplify 7 2/3 + -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, add the two fractions:
23/3 + -19/4 = (23 * 4 - 19 * 3) / (3 * 4) = (92 - 57) / 12 = 35/12
Therefore, 7 2/3 + -5 1/4 simplifies to 35/12.
To simplify the expression 7 2/3 + -5 1/4, you can follow these steps:
1. Convert the mixed numbers to improper fractions. To do this, multiply the whole number by the denominator and add the numerator.
7 2/3 = (7 * 3) + 2 = 21 + 2 = 23/3
-5 1/4 = (-5 * 4) + 1 = -20 + 1 = -19/4
2. Find a common denominator for the fractions. In this case, the common denominator is 12 because both 3 and 4 can be divided evenly into 12.
23/3 = (23/3) * (4/4) = 92/12
-19/4 = (19/4) * (3/3) = -57/12
3. Add the fractions together. To do this, simply add the numerators and keep the denominator the same.
92/12 + (-57/12) = (92 - 57) / 12 = 35/12
4. If needed, simplify the resulting fraction. In this case, 35/12 is already simplified.
Therefore, the simplified answer to 7 2/3 + -5 1/4 is 35/12.
To simplify the expression 7 2/3 + -5 1/4, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
-5 1/4 = (-5 * 4 + 1) / 4 = -21/4
Step 2: Add the two fractions together.
23/3 + (-21/4)
Step 3: Find a common denominator for the fractions.
The common denominator for 3 and 4 is 12.
Step 4: Convert the fractions to have a common denominator.
(23/3) * (4/4) = 92/12
(-21/4) * (3/3) = -63/12
Step 5: Add the fractions together.
92/12 + (-63/12) = (92 - 63) / 12 = 29/12
Therefore, 7 2/3 + -5 1/4 simplifies to 29/12.