Converting Mixed Numbers to Fractions: 1/2 + 4 5/8
When working with mixed numbers, it's essential to understand how to convert them into fractions. In this article, we'll explore how to convert the mixed number 1/2 + 4 5/8 into a fraction.
The Mixed Number: 1/2 + 4 5/8
The given mixed number is 1/2 + 4 5/8. To convert this mixed number into a fraction, we need to follow a few steps.
Step 1: Convert the Whole Number Part
The whole number part of the mixed number is 4. To convert this into a fraction, we can write it as:
4 = 32/8
Step 2: Convert the Fraction Part
The fraction part of the mixed number is 5/8. We can leave this as it is.
Step 3: Convert 1/2 to a Fraction with the Same Denominator
To add 1/2 to the fraction 5/8, we need to convert 1/2 to a fraction with the same denominator, which is 8. We can do this by multiplying the numerator and denominator of 1/2 by 4:
1/2 = 4/8
Step 4: Add the Fractions
Now that we have all the fractions in the same denominator, we can add them:
4/8 + 5/8 = 9/8
Step 5: Add the Whole Number Part
Finally, we can add the whole number part to the fraction:
32/8 + 9/8 = 41/8
The Result: 1/2 + 4 5/8 as a Fraction
The mixed number 1/2 + 4 5/8 can be converted into a fraction as:
41/8
In conclusion, by following these steps, we can convert the mixed number 1/2 + 4 5/8 into a fraction, which is equal to 41/8.
