Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Fill in the missing numbers in the given boxes.

(a) [tex]\frac{5}{6}=\frac{\square}{18}[/tex]

(b) [tex]\frac{2}{7}=\frac{10}{\square}[/tex]

(c) [tex]\frac{\square}{5}=\frac{32}{40}[/tex]

Sure! Let's solve each part step by step:

(a) [tex]$\frac{5}{6} = \frac{\square}{18}$[/tex]

To find the missing number in this equivalent fraction, we'll use cross-multiplication. Cross-multiplication means multiplying across the equal sign diagonally:

[tex]\[5 \times 18 = 6 \times \text{(missing number)}\][/tex]

This simplifies to:

[tex]\[90 = 6 \times \text{(missing number)}\][/tex]

To solve for the missing number, divide both sides by 6:

[tex]\[\text{Missing number} = \frac{90}{6} = 15\][/tex]

So, [tex]$\frac{5}{6} = \frac{15}{18}$[/tex].

(b) [tex]$\frac{2}{7} = \frac{10}{\square}$[/tex]

Similarly, we'll use cross-multiplication here:

[tex]\[2 \times \text{(missing denominator)} = 7 \times 10\][/tex]

This simplifies to:

[tex]\[2 \times \text{(missing denominator)} = 70\][/tex]

To find the missing denominator, divide both sides by 2:

[tex]\[\text{Missing denominator} = \frac{70}{2} = 35\][/tex]

So, [tex]$\frac{2}{7} = \frac{10}{35}$[/tex].

(c) [tex]$\frac{\square}{5} = \frac{32}{40}$[/tex]

Again, use cross-multiplication:

[tex]\[\text{(missing numerator)} \times 40 = 5 \times 32\][/tex]

This simplifies to:

[tex]\[\text{(missing numerator)} \times 40 = 160\][/tex]

To find the missing numerator, divide both sides by 40:

[tex]\[\text{Missing numerator} = \frac{160}{40} = 4\][/tex]

So, [tex]$\frac{4}{5} = \frac{32}{40}$[/tex].

In summary:
- For part (a), the missing number is 15.
- For part (b), the missing denominator is 35.
- For part (c), the missing numerator is 4.