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Svet_ta [14]
3 years ago
15

Whats the answer to these? (These are called Proper fractions.)

Mathematics
2 answers:
inna [77]3 years ago
8 0

Answer and Step-by-step explanation:

1. Convert \frac{2}{5} to have a denominator of 10.

\frac{2}{5} × \frac{2}{2} = \frac{4}{10}

\frac{3}{10}  + \frac{4}{10}  = \frac{7}{10}

Jeremiah ran \frac{7}{10} of a mile in total.

2. Convert the denominators of all the fractions to have a 10.

\frac{1}{2} × \frac{5}{5} =\frac{5}{10}

\frac{4}{5} × \frac{2}{2}  = \frac{8}{10}

Daniel read \frac{3}{10} more books than Edgar, since 8 books is more than 5 books by 3 books.

3. Convert \frac{1}{4} to have a denominator of 8.

\frac{1}{4} × \frac{2}{2} =  \frac{2}{8}

\frac{2}{8} +\frac{2}{8}= \frac{4}{8}, or\frac{1}{2}

Jared drove \frac{4}{8}, or \frac{1}{2} miles in total.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

Darya [45]3 years ago
5 0

Answer to the first question: 7/10ths of a mile

Explaination: When adding fractions, you need to have a common denominator. Since dividing 3/10 by 2 to get a denominator of 5 makes 3 a decimal, it's easier to multiply 2/5 by 2 to get a denominator of 10. You do the same to the top that you do to the bottom: \frac{2*2}{5*2} = \frac{4}{10}. From there, just add 4/10 and 3/10 to get the answer: 7/10ths of a mile.

Answer to the second question: Daniel read three (3/10) more books

Explaination: Since you can't evenly multiply 5 or 2 to get the opposite number, it's easier to multiply to the lowest common multiple. The easiest way to find that is to multiply both denominators (5*2=10). You'll have to multiply the numerator by the same amount you multipled the denominator by. For Daniel, that would mean: \frac{4*2}{5*2} = \frac{8}{10}. For Edgar, that would mean: \frac{1*5}{2*5} = \frac{5}{10}. So, Daniel read 3 more books than Edgar.

Answer to the third question: 2/4 mile (or 1/2 a mile)

Explaination: 2/8 can be simplified, by dividing the top and bottom by 2, resulting in 1/4. Since both fractions have the same denominator (/4), you can add them to get 2/4ths. This can be simplified further to half (1/2) a mile.

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