Add Mixed Numbers with Regrouping (Hundredths)
This Grade 4 Eureka Math skill teaches students to add mixed numbers with hundredths denominators and regroup when the fractional sum is an improper fraction. Students add whole numbers separately from fractions, then convert any improper fractional sum into a mixed number and add the whole number portion to the total. For example, 2 and 70/100 + 3 and 50/100 = 5 + 120/100 = 5 + 1 and 20/100 = 6 and 20/100. This hundredths regrouping skill from Chapter 32 of Eureka Math Grade 4 extends decimal fraction fluency.
Key Concepts
To add mixed numbers, add the whole numbers and the fractions separately. If the sum of the fractions is an improper fraction where the numerator is greater than or equal to the denominator (e.g., $\frac{115}{100}$), regroup it into a mixed number (e.g., $1 \frac{15}{100}$). Add the new whole number to the sum of the original whole numbers.
Common Questions
How do you add mixed numbers with hundredths?
Add whole number parts together, then add the fractional parts. If the fraction sum is 100/100 or more, regroup: convert the improper fraction to a mixed number and add the whole part to your existing whole number sum.
Solve 2 and 70/100 plus 3 and 50/100.
Whole parts: 2+3=5. Fractions: 70/100+50/100=120/100. Regroup: 120/100=1 and 20/100. Total: 5+1 and 20/100=6 and 20/100.
Solve 8 and 95/100 plus 4 and 25/100.
Whole parts: 8+4=12. Fractions: 95/100+25/100=120/100=1 and 20/100. Total: 12+1 and 20/100=13 and 20/100.
When must you regroup in hundredths addition?
Regroup when the sum of the hundredths fractions is 100/100 or greater. Each 100 hundredths becomes 1 whole.
How is adding mixed numbers with hundredths the same as with other denominators?
The process is identical: add whole parts, add fractions with the same denominator, regroup if the fraction sum is improper. The denominator is simply 100 instead of 4 or 5.