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McGraw Hill Glencoe Algebra 1 Texas, 2016

MH

McGraw Hill Glencoe Algebra 1 Texas, 2016 View details

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Exercise 1 Page 3

Can you break down the numerator and denominator into prime factors?

$\frac{2}{3}$

Practice makes perfect

To write the fraction in its simplest form, we begin by trying to break down the numerator and denominator into prime factors.

\frac{2 4}{3 6} = \frac{2 \cdot 2 \cdot 2 \cdot 3}{2 \cdot 2 \cdot 3 \cdot 3}

Both numbers share the factors

2,

2,

and

3 .

The product of these numbers,

12,

is the greatest common factor (GCF) of the fraction. Reducing the numerator and denominator by the GCF will give us the fraction's simplest form.

\frac{2 4}{3 6}

$\frac{a}{b} = \frac{a / 1 2}{b / 1 2}$

\frac{2 4 / 1 2}{3 6 / 1 2}

Calculate quotient

\frac{2}{3}

Subchapter links

Quick Check p.3