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.
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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!
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