Add Hundredths and Express the Sum
Grade 4 Eureka Math students add two fractions with denominator 100 and express their sum both as a fraction and as a decimal. The rule is: a/100 + b/100 = (a+b)/100, and hundredths fractions translate directly to two-decimal-place values. For example, 30/100 + 4/100 = 34/100 = 0.34, and 70/100 + 23/100 = 93/100 = 0.93. This dual representation connects fraction addition to decimal notation, reinforcing that hundredths fractions and two-decimal-place numbers are equivalent.
Key Concepts
To add fractions with a common denominator of 100, add the numerators and keep the denominator the same. The resulting fraction can be written as an equivalent decimal.
$$\frac{a}{100} + \frac{b}{100} = \frac{a+b}{100}$$ $$\frac{34}{100} = 0.34$$.
Common Questions
How do you add fractions with denominator 100?
Add the numerators and keep 100 as the denominator. The sum a/100 + b/100 = (a+b)/100.
How do you express 34/100 as a decimal?
Since hundredths occupy the first two decimal places, 34/100 = 0.34.
What is 50/100 + 15/100?
Add numerators: 50 + 15 = 65. The sum is 65/100 = 0.65.
Why does 70/100 + 23/100 equal 0.93?
70 + 23 = 93, and 93/100 expressed as a decimal is 0.93 because hundredths are two decimal places from the decimal point.
How does this skill connect to Grade 4 decimal work?
It shows that fractions with denominator 100 and two-place decimals are the same number written differently, building fluency for both notations.