find the equivalent fraction of the following fraction 3/9 with numerator 18
The Correct Answer and Explanation is:
The correct equivalent fraction of 3/9 with numerator 18 is 18/54.
Explanation:
To find an equivalent fraction with a specific numerator, follow these steps:
Step 1: Understand Equivalent Fractions
Two fractions are equivalent when they represent the same part of a whole, even if their numerators and denominators are different. This happens when both the numerator and denominator of a fraction are multiplied or divided by the same nonzero number.
Step 2: Original Fraction
The given fraction is: 39\frac{3}{9}93
We are asked to find an equivalent fraction that has a numerator of 18.
Step 3: Find the Multiplier
To adjust the numerator from 3 to 18, determine the factor you need to multiply by: 3×k=183 \times k = 183×k=18
Solve for k: k=183=6k = \frac{18}{3} = 6k=318=6
Step 4: Multiply Numerator and Denominator
Since we multiply the numerator by 6, we must multiply the denominator by the same factor to maintain equivalence: 3×69×6=1854\frac{3 \times 6}{9 \times 6} = \frac{18}{54}9×63×6=5418
Thus, the equivalent fraction is: 1854\frac{18}{54}5418
Step 5: Confirm the Fractions are Equivalent
We can simplify 18/54 to confirm equivalence. Divide both numerator and denominator by their greatest common divisor, which is 18: 18÷1854÷18=13\frac{18 \div 18}{54 \div 18} = \frac{1}{3}54÷1818÷18=31
Similarly, simplify 3/9: 3÷39÷3=13\frac{3 \div 3}{9 \div 3} = \frac{1}{3}9÷33÷3=31
Since both simplify to 1/3, they are equivalent fractions.
Conclusion
The equivalent fraction of 3/9 with numerator 18 is 18/54, and this confirms the fractions represent the same quantity.
