Question
These questions will help build your fluency with fraction addition and equivalence. For each of the fractions below, write an equivalent additive expression. \( 1 . \frac{4}{5} \)
Ask by Lynch Potter. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
An equivalent additive expression for \( 1 \frac{4}{5} \) is \( 1 + \frac{4}{5} \).
Solution
An equivalent additive expression for \( 1 \frac{4}{5} \) is:
\[
1 + \frac{4}{5}
\]
**Explanation:**
The mixed number \( 1 \frac{4}{5} \) can be broken down into the sum of its whole number part and its fractional part. Here’s how it works:
- **Whole Number Part:** \( 1 \)
- **Fractional Part:** \( \frac{4}{5} \)
By adding these two parts together, you get:
\[
1 + \frac{4}{5} = 1 \frac{4}{5}
\]
This expression shows the mixed number as the sum of a whole number and a proper fraction, which is useful for understanding fraction addition and equivalence.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Did you know that fractions have been used since ancient times, dating back to the Egyptians and Mesopotamians? They often required fractions for trade, construction, and daily tasks, showing us that mastering fractions is as old as civilization itself! To add fractions like \( \frac{4}{5} \), a fun trick is to break it into parts! For example, you can express \( \frac{4}{5} \) as \( \frac{2}{5} + \frac{2}{5} \) or even \( \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} \). This not only makes it easier to visualize adding with other fractions but also helps in understanding fraction equivalence!
