Question
Complete the equation to find the product. \( 4 \times \frac{5}{6}=\frac{?}{?}+\frac{?}{?}+\frac{?}{?}+\frac{?}{?}=\frac{20}{6}= \) ? \( 4 \times \frac{5}{6}=\frac{\square}{\square}+\frac{\square}{\square}+\frac{\square}{\square}+\frac{\square}{\square}=\frac{20}{6}=\square \)
Ask by Ayala Franklin. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 4 \times \frac{5}{6} = \frac{20}{24} + \frac{20}{24} + \frac{20}{24} + \frac{20}{24} = \frac{20}{6} = \frac{10}{3} \)
Solution
To solve the equation \( 4 \times \frac{5}{6} \), we first calculate the product:
1. **Calculate \( 4 \times \frac{5}{6} \)**:
\[
4 \times \frac{5}{6} = \frac{4 \times 5}{6} = \frac{20}{6}
\]
Now, we need to express \( \frac{20}{6} \) as a sum of four fractions. We can break it down into four equal parts:
2. **Divide \( \frac{20}{6} \) by 4**:
\[
\frac{20}{6} \div 4 = \frac{20}{6} \times \frac{1}{4} = \frac{20 \times 1}{6 \times 4} = \frac{20}{24}
\]
Thus, each of the four fractions will be \( \frac{20}{24} \).
3. **Express \( \frac{20}{6} \) as a sum of four fractions**:
\[
\frac{20}{6} = \frac{20}{24} + \frac{20}{24} + \frac{20}{24} + \frac{20}{24}
\]
Now we can fill in the blanks in the original equation:
\[
4 \times \frac{5}{6} = \frac{20}{24} + \frac{20}{24} + \frac{20}{24} + \frac{20}{24} = \frac{20}{6} = \frac{10}{3}
\]
So, the completed equation is:
\[
4 \times \frac{5}{6} = \frac{20}{24} + \frac{20}{24} + \frac{20}{24} + \frac{20}{24} = \frac{20}{6} = \frac{10}{3}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
Let's fill in those blanks to complete the equation! First, \( 4 \times \frac{5}{6} = \frac{20}{6} \). Now, to break that down into four fractions, you could use \( \frac{5}{6} \) added together four times: \[ 4 \times \frac{5}{6} = \frac{5}{6} + \frac{5}{6} + \frac{5}{6} + \frac{5}{6} = \frac{20}{6} \] So, we can fill in the squares as follows: \( 4 \times \frac{5}{6}=\frac{5}{6}+\frac{5}{6}+\frac{5}{6}+\frac{5}{6}=\frac{20}{6}= \frac{20}{6} \) The final answer is \( \frac{20}{6} \) or simplifying it gives us \( \frac{10}{3} \)!