Answer :
To find a fraction that is equivalent to [tex]\(\frac{13}{15}\)[/tex], we need to multiply both the numerator and the denominator by the same number. This number is called a "factor."
1. Choose a Factor: We'll use 2 as our factor in this example.
2. Multiply the Numerator: Multiply the numerator of the original fraction by the chosen factor:
[tex]\[
13 \times 2 = 26
\][/tex]
3. Multiply the Denominator: Similarly, multiply the denominator by the same factor:
[tex]\[
15 \times 2 = 30
\][/tex]
4. Construct the Equivalent Fraction: The new fraction is:
[tex]\[
\frac{26}{30}
\][/tex]
Thus, [tex]\(\frac{26}{30}\)[/tex] is the fraction equivalent to [tex]\(\frac{13}{15}\)[/tex] when both numerator and denominator are multiplied by 2.
1. Choose a Factor: We'll use 2 as our factor in this example.
2. Multiply the Numerator: Multiply the numerator of the original fraction by the chosen factor:
[tex]\[
13 \times 2 = 26
\][/tex]
3. Multiply the Denominator: Similarly, multiply the denominator by the same factor:
[tex]\[
15 \times 2 = 30
\][/tex]
4. Construct the Equivalent Fraction: The new fraction is:
[tex]\[
\frac{26}{30}
\][/tex]
Thus, [tex]\(\frac{26}{30}\)[/tex] is the fraction equivalent to [tex]\(\frac{13}{15}\)[/tex] when both numerator and denominator are multiplied by 2.
