Ned spends of an hour doing his language homework and of an hour doing his science homework.
How long does Ned spend doing his homework (as a fraction of an hour)?
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Ned spends of an hour doing his language homework and of an hour doing his science homework.
How long does Ned spend doing his homework (as a fraction of an hour)?
To solve the problem of determining how long Ned spends doing his homework, we need to add the times he spent on language and science homework.
Given:
- Language homework: of an hour
- Science homework: of an hour
Since both times have the same denominator, adding them is straightforward:
Therefore, Ned spends of an hour doing his homework.
Solve the following:
\( \frac{5}{9}:\frac{7}{18}= \)
The denominator shows what size pieces you're working with. Both fractions use eighths, so you're still counting eighths! Adding denominators would change the piece size completely.
Then you'd need to find a common denominator first. Convert both fractions so they have the same bottom number, then add the numerators.
Check if the numerator and denominator share any common factors. Since 7 and 8 don't share factors other than 1, is already simplified!
Imagine a clock! Ned spent 1 eighth of an hour (7.5 minutes) on language and 6 eighths (45 minutes) on science. Together that's 7 eighths or 52.5 minutes total.
Always check if your answer makes sense! Since Ned spent 1/8 + 6/8 hours, the total should be less than one full hour, and 7/8 = 0.875 hours ✓
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