Ursula wrote the sum 5.815 +6.021 as a sum of two mixed numbers. part A. What sum did she write? b. Compare the sum of the mixed numbers to the sum of the decimals? Please answer both questions thanks
5.815 = 5 815/1000
6.021 = 6 21/1000
Naturally, the sums are equal.
I expect you can reduce the fractions as necessary.
11 836/1000
Thank u
To represent the sum 5.815 + 6.021 as a sum of two mixed numbers, Ursula would need to break down the decimal parts into fractions and add them to the whole numbers.
To find the mixed number representation, follow these steps:
a. Finding the sum of two mixed numbers:
Step 1: Convert the decimals to fractions.
5.815 can be written as 5 + 815/1000
6.021 can be written as 6 + 21/1000
Step 2: Simplify the fractions.
Both fractions are already in their simplest form.
Step 3: Add the whole numbers and the fractions separately.
Whole numbers: 5 + 6 = 11
Fractions: 815/1000 + 21/1000 = 836/1000
Step 4: Express the sum as a mixed number.
Divide the numerator (836) by the denominator (1000) to get the whole number part and the fractional part.
836 ÷ 1000 = 0.836
The whole number part is 0 and the fractional part is 836/1000.
Therefore, Ursula wrote the sum as 11 836/1000.
b. Comparing the sum of the mixed numbers to the sum of the decimals:
To compare the sums, convert the mixed number 11 836/1000 back to a decimal.
Step 1: Add the whole number part (11) and the fractional part (836/1000) by dividing the numerator by the denominator.
836 ÷ 1000 = 0.836
Step 2: Add the whole number part and the decimal part.
11 + 0.836 = 11.836
The sum of the mixed numbers, 11 836/1000, is equal to the sum of the decimals, 11.836.
Therefore, the sum of the mixed numbers is equal to the sum of the decimals.