https://file.aiquickdraw.com/mathbot/file/1725393187578qcz3wppt.jpg

Let's solve each problem step by step.

### Problem 5: 
The equation given is:

\[
\frac{2}{6} = \frac{1}{\Box}
\]

To find the missing number, notice that the fractions are equivalent, so the cross products must be equal. This means:

\[
2 \times \Box = 6 \times 1
\]

Simplifying:

\[
2 \times \Box = 6
\]

Dividing both sides by 2:

\[
\Box = \frac{6}{2} = 3
\]

So, the correct answer is **3**.

### Problem 8:
The equation given is:

\[
\frac{6}{9} = \frac{\Box}{3}
\]

Again, to find the missing number, use cross-multiplication:

\[
6 \times 3 = 9 \times \Box
\]

Simplifying:

\[
18 = 9 \times \Box
\]

Dividing both sides by 9:

\[
\Box = \frac{18}{9} = 2
\]

So, the correct answer is **2**.

---

Would you like more details or have any questions about these solutions?

Here are 5 related questions you might find interesting:
1. What are the steps to find equivalent fractions in general?
2. How do you simplify fractions to their lowest terms?
3. Can two different fractions be equivalent if both are not in their simplest form?
4. How can cross-multiplication be used to compare two fractions?
5. What are some common mistakes to avoid when solving fraction equivalence problems?

**Tip:** When finding equivalent fractions, always ensure that the cross products (multiplication of diagonal terms) are equal. This method can quickly confirm equivalency!

Find the missing number that makes the fraction equivalent in the given problems.

Learn how to find the missing number that makes fractions equivalent. The problems cover essential concepts like equivalent fractions and cross multiplication. Suitable for students in Grades 4-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation