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Equivalent Fractions Examples

See clear examples of equivalent fractions and compare the bars side by side. The numbers change, but every group still names the same part of one whole.

Start with these examples

1/2 = 2/4 = 4/8

1/2

2/4

4/8

1/3 = 2/6 = 3/9

1/3

2/6

3/9

3/4 = 6/8 = 9/12

3/4

6/8

9/12

2/5 = 4/10 = 6/15

2/5

4/10

6/15

Quick answer

What are some examples of equivalent fractions?

Equivalent fractions examples include 1/2 = 2/4 = 4/8 and 3/4 = 6/8 = 9/12.

In each set, the numerators and denominators change, but the fractions name the same part of one whole. More equal pieces can be shaded without moving the endpoint of the shaded amount.

Examples of equivalent fractions

Compare each fraction family

Read each equation from left to right. Ask which number of equal pieces changed, then look for the point where all three bars stop.

Example family

Halves: 1/2 = 2/4 = 4/8

One half is the most familiar equivalent fraction example.

1/2

2/4

4/8

What changed: The whole is split into 2, 4, and 8 equal parts.

What stayed the same: The shaded length remains exactly one-half of the whole.

Say it aloud: “One-half, two-fourths, and four-eighths all cover half of one whole.”

Example family

Thirds: 1/3 = 2/6 = 3/9

A third can be renamed by splitting each third into smaller equal pieces.

1/3

2/6

3/9

What changed: Each original third becomes 2 or 3 smaller pieces.

What stayed the same: The selected amount still reaches one-third of the whole.

Say it aloud: “One-third is the same amount as two-sixths and three-ninths.”

Example family

Three-fourths: 3/4 = 6/8 = 9/12

This example shows that the numerator can grow with the denominator while the value stays three-fourths.

3/4

6/8

9/12

What changed: Three fourths are renamed as six eighths and nine twelfths.

What stayed the same: Every bar ends at the same three-quarter point.

Say it aloud: “Three-fourths, six-eighths, and nine-twelfths name the same amount.”

Example family

Two-fifths: 2/5 = 4/10 = 6/15

A less familiar denominator makes the same rule easier to spot across new examples.

2/5

4/10

6/15

What changed: Two fifths are split into four tenths or six fifteenths.

What stayed the same: The shaded part remains two-fifths of the whole.

Say it aloud: “Two-fifths, four-tenths, and six-fifteenths are different names for the same amount.”

The pattern behind the examples

What stays the same in every equivalent fraction example?

Same value

The shaded bars stop at the same location, so every equation names one amount.

Same factor on top and bottom

The numerator and denominator are multiplied by the same number, such as 2/2 or 3/3.

Equal parts

A denominator counts equal shares of one whole. Uneven pieces cannot prove an equivalent fraction.

A useful non-example

An example that is not equivalent

Compare 1/2 and 1/4. The denominator changed, but the numerator did not increase to count enough of the new smaller pieces.

1/2 → 1/4 is not equivalent

1/2

1/4

The second shaded bar stops earlier, so these fractions do not name the same amount.

Explain it to a child

Use the picture before the rule

Point to the end of the shaded part on each bar before naming the fractions. The matching endpoint makes the example meaningful.

“The second bar has more pieces because every original piece was split into smaller equal parts. Point to where the shaded color ends—did that amount move?”Then ask: “Which changed: the number of pieces, the size of each piece, or the shaded amount?”

Common questions

Equivalent Fractions Examples FAQ

Three useful examples are 1/2 = 2/4 = 4/8, 1/3 = 2/6 = 3/9, and 3/4 = 6/8 = 9/12. Each group names the same value with different equal parts.