Question
Fractions as Tenths and Hundredths - Instruction - Level D © Shira plants carrots in \( \frac{4}{10} \) of her garden and potatoes in \( \frac{25}{100} \) of her garden. She wants to know what fraction of her garden has carrots and potatoes. a) Build an expression you can use to solve the problem.
Ask by French Wyatt. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the total fraction of the garden with carrots and potatoes, add the two fractions:
\[
\frac{4}{10} + \frac{25}{100}
\]
Convert \(\frac{4}{10}\) to hundredths:
\[
\frac{4}{10} = \frac{40}{100}
\]
So, the expression is:
\[
\frac{40}{100} + \frac{25}{100}
\]
Solution
To find the fraction of the garden planted with carrots and potatoes, you add the two fractions:
(4/10) + (25/100)
Since the denominators are different, you can convert 4/10 into hundredths by multiplying the numerator and denominator by 10:
4/10 = 40/100
Now the expression becomes:
40/100 + 25/100
This is the expression you can use to solve the problem.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find out what fraction of Shira's garden has carrots and potatoes, you can express it as: \(\frac{4}{10} + \frac{25}{100}\). To make it easier to add, remember that \(\frac{4}{10}\) can be converted to hundredths by multiplying the numerator and denominator by 10, giving you \(\frac{40}{100}\). Now you can add: \(\frac{40}{100} + \frac{25}{100} = \frac{65}{100}\). Thus, Shira uses \(\frac{65}{100}\) of her garden for carrots and potatoes!
