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Ursula wrote the sum 5.815 +6.021 as a sum of two mixed numbers.

What a sum did she write?

Compare the sum of the mixed numbers to the sum of the decimals

Verified Answer :

bobeld

5 \(\frac{815}{1000}\)  + 6\(\frac{21}{1000}\)

The sum of these two mixed numbers is 11.836  or 11\(\frac{836}{1000}\)
Reducing the fraction we get 11 \(\frac{209}{250}\) in lowest terms.
(I divided the numerator and denominator by 4).

calculista


Part a) sum of the mixed numbers
we know that
\((5.815 +6.021)=(5+0.815)+(6+0.021) \\ \\ =(5+ \frac{815}{1000})+(6+ \frac{21}{1000} ) \\ \\ =(5 \frac{815}{1000} +6 \frac{21}{1000} ) \\ \\ = 11 \frac{836}{1000}\)
Reducing the fraction (divided the numerator and denominator by \(4\)) 

we get

\(11 \frac{209}{250}\)

Part b) sum of the decimals
we know that
\((5.815 +6.021)=(11.836)\)

Part c) Compare the sum of the mixed numbers to the sum of the decimals 

sum of the mixed numbers is equal to  \(11 \frac{209}{250}\)

sum of the decimals is equal to \(11.836\)

therefore

\(11 \frac{209}{250}=11.836\)

\(\frac{209}{250} =0.836\)







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