3.3.H

Compare Fractions 3rd Grade

Texas Essential Knowledge and Skills (TEKS): 3.3.H
compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.

When two fractions have the same denominator,
the fraction with the larger numerator is larger.

First, identify the fractions represented by the models.
The model on the left is divided into four equal parts, and two parts are shaded.
So, the model represents

\frac{2}{4}

The model on the right is divided into four equal parts, and three parts are shaded.
So, the model represents

\frac{3}{4}


$\frac{2}{4}$	$<$	$\frac{3}{4}$

\frac{2}{4} < \frac{3}{4}

is the correct comparison because:

•

\frac{2}{4}

and

\frac{3}{4}

have the same denominator, and 2 < 3.

• the model of

\frac{2}{4}

has less area shaded than the model of

\frac{3}{4}

When two fractions have the same numerator,
the fraction with the smaller denominator is larger.

First, identify the fractions represented by the models.
The model on the left is divided into four equal parts, and three parts are shaded.
So, the model represents

\frac{3}{4}

The model on the right is divided into six equal parts, and three parts are shaded.
So, the model represents

\frac{3}{6}


$\frac{3}{4}$	$>$	$\frac{3}{6}$

\frac{3}{4} > \frac{3}{6}

is the correct comparison because:

•

\frac{3}{4}

and

\frac{3}{6}

have the same numerator, and 4 < 6.

• the model of

\frac{3}{4}

has more area shaded than the model of

\frac{3}{6}

Compare Fractions

Texas Essential Knowledge and Skills (TEKS): 3.3.H

compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.

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