Understanding Equivalent Fractions

Is (2/4) equivalent to (3/6)? Think about how you can check this!

Answer explanation

Yes, (2/4) is equivalent to (3/6). Both can be simplified: (2/4) simplifies to (1/2) and (3/6) also simplifies to (1/2). Since they simplify to the same fraction, they are equivalent.

What fraction is equivalent to (2/3) when you multiply both numbers by 2?

Answer explanation

Multiplying both the numerator and denominator of 2/3 by 2 gives 4/6. Therefore, 4/6 is equivalent to 2/3.

Find three fractions equivalent to (3/4)

• 6/8

• 9/12

• 12/16

Answer explanation

To find fractions equivalent to 3/4, multiply both the numerator and denominator by the same number. For example, 3*2/4*2 = 6/8, 3*3/4*3 = 9/12, and 3*4/4*4 = 12/16. All are equivalent to 3/4.

Simplify (10/15) to its smallest equivalent fraction

Answer explanation

To simplify 10/15, divide both the numerator and denominator by their greatest common divisor, which is 5. This gives 10 ÷ 5 = 2 and 15 ÷ 5 = 3, resulting in the fraction 2/3, which is the smallest equivalent fraction.

If you fold a paper into 6 equal parts and color 4 parts, what's an equivalent fraction if you fold it into 3 parts?

Answer explanation

When you fold the paper into 6 parts and color 4, you have 4/6, which simplifies to 2/3. However, if you fold it into 3 parts, coloring 4 parts is impossible, so the equivalent fraction is 0.