3.3.c 3.3.d 3.3.e

Fraction Problems 3rd Grade

Texas Essential Knowledge and Skills (TEKS): 3.3.c
explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;
Texas Essential Knowledge and Skills (TEKS): 3.3.d
compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;
Texas Essential Knowledge and Skills (TEKS): 3.3.e
solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;

A fraction with a numerator greater than one
can be written as the sum of unit fractions.

A unit fraction is a fraction that has 1 as its numerator.
A unit fraction is one part of a whole divided into equal parts.

The fraction

\frac{2}{3}

is two parts of a whole divided into three equal parts.

Two-thirds can be separated into two equal parts that are each

\frac{1}{3}

of the whole.

+

So, the sum

\frac{1}{3} + \frac{1}{3}

is the same as

\frac{2}{3}

The fraction

\frac{1}{6}

is one part of a whole divided into six equal parts.

Five parts that are each

\frac{1}{6}

of the same whole can be combined into one fraction.

+

+

+

+

=

So,

\frac{5}{6}

is the same as

\frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6}

Fractions can be used to share items when
the items cannot be shared equally as wholes.

1 piece is

\frac{1}{2}

of a pack of pencils.

Fraction Problems

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

explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;

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

compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;

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

solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;

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