Answer :
To solve the problem of finding the missing number in the fraction [tex]\(\frac{13}{15} = \frac{39}{\square}\)[/tex], follow these steps:
1. Set up the equation: Since we're given [tex]\(\frac{13}{15} = \frac{39}{x}\)[/tex], we need to find the value of [tex]\(x\)[/tex].
2. Use cross-multiplication: This mathematical technique involves multiplying across the equals sign diagonally. Set it up as [tex]\(13 \times x = 39 \times 15\)[/tex].
3. Perform the multiplication: Calculate 39 multiplied by 15.
[tex]\[
39 \times 15 = 585
\][/tex]
4. Solve for [tex]\(x\)[/tex]: You'll have the equation [tex]\(13x = 585\)[/tex]. Now, divide both sides by 13 to find [tex]\(x\)[/tex].
[tex]\[
x = \frac{585}{13} = 45
\][/tex]
5. Conclude the answer: [tex]\(x\)[/tex] is equal to 45. So, the fraction [tex]\(\frac{39}{45}\)[/tex] is equivalent to [tex]\(\frac{13}{15}\)[/tex].
Thus, the missing number in the fraction is [tex]\(45\)[/tex].
1. Set up the equation: Since we're given [tex]\(\frac{13}{15} = \frac{39}{x}\)[/tex], we need to find the value of [tex]\(x\)[/tex].
2. Use cross-multiplication: This mathematical technique involves multiplying across the equals sign diagonally. Set it up as [tex]\(13 \times x = 39 \times 15\)[/tex].
3. Perform the multiplication: Calculate 39 multiplied by 15.
[tex]\[
39 \times 15 = 585
\][/tex]
4. Solve for [tex]\(x\)[/tex]: You'll have the equation [tex]\(13x = 585\)[/tex]. Now, divide both sides by 13 to find [tex]\(x\)[/tex].
[tex]\[
x = \frac{585}{13} = 45
\][/tex]
5. Conclude the answer: [tex]\(x\)[/tex] is equal to 45. So, the fraction [tex]\(\frac{39}{45}\)[/tex] is equivalent to [tex]\(\frac{13}{15}\)[/tex].
Thus, the missing number in the fraction is [tex]\(45\)[/tex].
