I need help with math
12 5/8+6 3/8+5 2/3= they must have coming denominator like 24 =
The answer
sure, why not
12 15/24
6 9/24
5 16/24
---------- add
23 40/24
well 40 = 24 + 16
so regroup
23 + 24/24 + 16/24
24 + 2/3 because we already know 2/3 = 16/24
24 2/3
12 5/8 = 12 15/24
6 3/8 = 6 9/24
5 2/3 = 5 16/24
Add the fractions. Then add the whole numbers. Simplify the answer.
I'll be glad to check your answer.
To solve the given equation, you need to first find a common denominator for all the fractions involved, which in this case is 24. Here's how you can calculate the sum:
1. Convert the mixed numbers to improper fractions:
12 5/8 = (8 * 12 + 5)/8 = 101/8
6 3/8 = (8 * 6 + 3)/8 = 51/8
5 2/3 = (3 * 5 + 2)/3 = 17/3
2. Now, we can rewrite the equation with the common denominator (24):
101/8 + 51/8 + 17/3
3. To add fractions, the denominators must be the same. To achieve this, we have to convert the fractions to have a denominator of 24:
Multiply the numerator and denominator of each fraction by the necessary value to transform the original denominator into 24.
For 101/8, multiply by 3/3:
(101/8) * (3/3) = 303/24
For 51/8, multiply by 3/3:
(51/8) * (3/3) = 153/24
The fraction 17/3 does not have 24 as a denominator, so we need to find a different approach. Divide 24 (the desired denominator) by 3 (the current denominator) to get 8. Multiply both the numerator and denominator of 17/3 by 8 to obtain the equivalent fraction with a denominator of 24:
(17/3) * (8/8) = 136/24
4. Now that all the fractions have a denominator of 24, we can add them together:
303/24 + 153/24 + 136/24
5. Combine the numerators over the common denominator:
(303 + 153 + 136)/24 = 592/24
6. Simplify the fraction:
Divide both the numerator and denominator by their greatest common divisor, which is 8 in this case:
(592/8) / (24/8) = 74/3
So, the solution to the equation 12 5/8 + 6 3/8 + 5 2/3 with a common denominator of 24 is 74/3.