4.3.A 4.3.B MA.4.FR.2.1

Texas Essential Knowledge and Skills (TEKS) Decompose Fractions
Grade:	4th Grade
Standard:	4.3.A
Description:	represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b;
Standard:	4.3.B
Description:	decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;
Standard:	MA.4.FR.2.1
Description:	Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations

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

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{5}{8}

is five parts of a whole divided into eight equal parts.

Since the numerator is five, five-eighths can be separated into five equal parts that are each

\frac{1}{8}

of the whole.

+

+

+

+

So,

\frac{5}{8}

is equal to the sum of five

\frac{1}{8}

's, or

\frac{1}{8}

\frac{1}{8}

\frac{1}{8}

\frac{1}{8}

\frac{1}{8}

The fraction

\frac{7}{5}

is seven parts of wholes divided into five equal parts.

Since the numerator is seven, seven-fifths can be separated into seven equal parts that are each

\frac{1}{5}

of the whole.

So,

\frac{7}{5}

is equal to the sum of seven

\frac{1}{5}

's, or

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

Texas Essential Knowledge and Skills (TEKS)

Decompose Fractions

4.3.A

represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b;

4.3.B

decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;

MA.4.FR.2.1

Decompose a fraction, including mixed numbers and fractions greater than one, into a sum of fractions with the same denominator in multiple ways. Demonstrate each decomposition with objects, drawings and equations

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