How to add to 13whole 7 by 8 to get 29whole 5by 24
Understanding Mixed Numbers
Before we can add mixed numbers, it's important to understand what they are. A mixed number is a combination of a whole number and a fraction. For example, 13whole 7 by 8 can also be written as 13 7/8. Similarly, 29whole 5by 24 can be written as 29 5/24.
Converting Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them to improper fractions. To do this, we multiply the whole number by the denominator of the fraction and add the numerator. The result is then placed over the denominator. For example, to convert 13 7/8 to an improper fraction, we would do the following:
13 x 8 + 7 = 111
111/8
Similarly, to convert 29 5/24 to an improper fraction, we would do the following:
29 x 24 + 5 = 701
701/24
Adding Fractions with Common Denominators
Now that we have converted the mixed numbers to improper fractions, we can add them together. To add fractions with common denominators, we simply add the numerators and keep the denominator the same. For example:
111/8 + 7/8 = 118/8
Similarly:
701/24 + x/24 = 1493/24 (where x is the number we need to add to 29 5/24 to get the sum)
Solving for x
To solve for x, we can cross-multiply and simplify:
701/24 + x/24 = 1493/24
x/24 = 792/24
x = 33
Therefore, we need to add 33/24 (or 1 9/24) to 29 5/24 to get 30 14/24 or 30 7/12.