Answer :
Let's solve the problem step-by-step:
1. Understand the problem: We have the fraction [tex]\(\frac{13}{15}\)[/tex] and need to find an equivalent fraction [tex]\(\frac{39}{\square}\)[/tex].
2. Set up the equation for equivalent fractions:
The fractions are equivalent, which means:
[tex]\[
\frac{13}{15} = \frac{39}{x}
\][/tex]
3. Use cross-multiplication to solve for [tex]\(x\)[/tex]:
Cross-multiplying gives us:
[tex]\[
13 \times x = 15 \times 39
\][/tex]
4. Calculate the right-hand side:
Multiply 15 by 39:
[tex]\[
15 \times 39 = 585
\][/tex]
5. Solve for [tex]\(x\)[/tex] by dividing both sides by 13:
[tex]\[
x = \frac{585}{13}
\][/tex]
6. Perform the division:
[tex]\[
585 \div 13 = 45
\][/tex]
Therefore, the fraction [tex]\(\frac{13}{15}\)[/tex] is equivalent to [tex]\(\frac{39}{45}\)[/tex], and the missing number in the box is [tex]\(45\)[/tex].
1. Understand the problem: We have the fraction [tex]\(\frac{13}{15}\)[/tex] and need to find an equivalent fraction [tex]\(\frac{39}{\square}\)[/tex].
2. Set up the equation for equivalent fractions:
The fractions are equivalent, which means:
[tex]\[
\frac{13}{15} = \frac{39}{x}
\][/tex]
3. Use cross-multiplication to solve for [tex]\(x\)[/tex]:
Cross-multiplying gives us:
[tex]\[
13 \times x = 15 \times 39
\][/tex]
4. Calculate the right-hand side:
Multiply 15 by 39:
[tex]\[
15 \times 39 = 585
\][/tex]
5. Solve for [tex]\(x\)[/tex] by dividing both sides by 13:
[tex]\[
x = \frac{585}{13}
\][/tex]
6. Perform the division:
[tex]\[
585 \div 13 = 45
\][/tex]
Therefore, the fraction [tex]\(\frac{13}{15}\)[/tex] is equivalent to [tex]\(\frac{39}{45}\)[/tex], and the missing number in the box is [tex]\(45\)[/tex].
