Answer :
To find a fraction that is equivalent to [tex]\(\frac{13}{15}\)[/tex], you can start by understanding that equivalent fractions have the same value when simplified. So, here are the steps to find an equivalent fraction:
1. Understand the Concept of Equivalent Fractions:
Equivalent fractions are obtained by multiplying or dividing the numerator and the denominator of a fraction by the same non-zero number.
2. Choose a Number to Multiply or Divide:
For this fraction, since [tex]\(\frac{13}{15}\)[/tex] is already in its simplest form, any equivalent fraction can be obtained by multiplying both the numerator (13) and the denominator (15) by the same whole number.
3. Calculate Equivalent Fractions:
- If you multiply both by 2, you get [tex]\(\frac{13 \times 2}{15 \times 2} = \frac{26}{30}\)[/tex].
- If you multiply both by 3, you get [tex]\(\frac{13 \times 3}{15 \times 3} = \frac{39}{45}\)[/tex].
4. Choose Any Fraction:
You can choose any of these fractions. However, since [tex]\(\frac{13}{15}\)[/tex] is already an equivalent fraction of itself, you do not have to change the numbers.
Thus, one simple fraction equivalent to [tex]\(\frac{13}{15}\)[/tex] is [tex]\(\frac{13}{15}\)[/tex].
In conclusion, [tex]\(\frac{13}{15} = \frac{13}{15}\)[/tex] is a valid equivalent fraction.
1. Understand the Concept of Equivalent Fractions:
Equivalent fractions are obtained by multiplying or dividing the numerator and the denominator of a fraction by the same non-zero number.
2. Choose a Number to Multiply or Divide:
For this fraction, since [tex]\(\frac{13}{15}\)[/tex] is already in its simplest form, any equivalent fraction can be obtained by multiplying both the numerator (13) and the denominator (15) by the same whole number.
3. Calculate Equivalent Fractions:
- If you multiply both by 2, you get [tex]\(\frac{13 \times 2}{15 \times 2} = \frac{26}{30}\)[/tex].
- If you multiply both by 3, you get [tex]\(\frac{13 \times 3}{15 \times 3} = \frac{39}{45}\)[/tex].
4. Choose Any Fraction:
You can choose any of these fractions. However, since [tex]\(\frac{13}{15}\)[/tex] is already an equivalent fraction of itself, you do not have to change the numbers.
Thus, one simple fraction equivalent to [tex]\(\frac{13}{15}\)[/tex] is [tex]\(\frac{13}{15}\)[/tex].
In conclusion, [tex]\(\frac{13}{15} = \frac{13}{15}\)[/tex] is a valid equivalent fraction.
