A mother spends of an hour preparing a salad and of an hour cooking french fries.
How much time does she spend preparing food (as a fraction of an hour)?
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A mother spends of an hour preparing a salad and of an hour cooking french fries.
How much time does she spend preparing food (as a fraction of an hour)?
The mother spends time preparing both salad and french fries. We need to sum up these two times:
Given the times:
To add these fractions, we need a common denominator. The denominators are 6 and 3. The least common multiple of 6 and 3 is 6.
Convert to a fraction with a denominator of 6:
Now, add the fractions:
Therefore, the total time the mother spends preparing food is of an hour.
Complete the following exercise:
\( \frac{3}{4}:\frac{5}{6}=\text{?} \)
You can only add fractions when they have the same denominator. Think of it like adding different units - you can't add 1 apple + 2 oranges without converting to a common unit first!
Find the smallest number that both denominators divide into evenly. For 6 and 3: since 6 ÷ 6 = 1 and 6 ÷ 3 = 2, the LCD is 6.
Always simplify! If you get , divide both top and bottom by their greatest common factor to get .
Yes, but be careful with rounding! = 0.167... and = 0.667..., but the exact fractional answer is usually preferred.
hour = 5 × 10 = 50 minutes! Since each of an hour equals 10 minutes, multiply by 5 to get the total time.
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