Question

equivalent fractions represent the same amount of a whole, but the fractional pieces are different sizes.
to find an equivalent fraction, multiply the numerator and denominator by the same number.
\\(\frac{1}{3} \times \frac{2}{2} = \frac{2}{6}\\)
\\(\frac{1}{3} = \frac{2}{6}\\)
\\(\frac{1}{3}\\) is equivalent, or equal to \\(\frac{2}{6}\\) because both fractions describe the same amount of the whole.
find each equivalent fraction.

1. \\(\frac{3}{2} = \frac{\quad}{6}\\)
2. \\(\frac{3}{5} = \frac{\quad}{15}\\)
3. \\(\frac{2}{3} = \frac{\quad}{9}\\)
4. \\(\frac{6}{7} = \frac{\quad}{14}\\)
5. \\(\frac{1}{2} = \frac{\quad}{10}\\)
6. \\(\frac{1}{4} = \frac{\quad}{12}\\)

can you find two equivalent fractions for \\(\frac{2}{3}\\)? try it!
\\(\frac{\square}{\square}\\) and \\(\frac{\square}{\square}\\)

Explanation:

Problem 1: $\boldsymbol{\frac{3}{2} = \frac{}{6}}$

Step1: Find the multiplier

The denominator changes from 2 to 6. Calculate the multiplier: $6 \div 2 = 3$.

Step2: Multiply numerator by 3

Multiply the numerator 3 by 3: $3 \times 3 = 9$. So $\frac{3}{2} = \frac{9}{6}$.

Step1: Find the multiplier

Denominator changes from 5 to 15. Multiplier: $15 \div 5 = 3$.

Step2: Multiply numerator by 3

Multiply 3 by 3: $3 \times 3 = 9$. So $\frac{3}{5} = \frac{9}{15}$.

Step1: Find the multiplier

Denominator changes from 3 to 9. Multiplier: $9 \div 3 = 3$.

Step2: Multiply numerator by 3

Multiply 2 by 3: $2 \times 3 = 6$. So $\frac{2}{3} = \frac{6}{9}$.

Answer:

9

Problem 2: $\boldsymbol{\frac{3}{5} = \frac{}{15}}$