Mathematics 2 Ms. Meek Fractions Review

Fractions are part of a whole number. On a number line, if an arrow is pointing at a number located between two whole numbers, that is a fraction. ^ Review: Parts of a Whole

Fractions are part of a whole number. If only part of a group is participating in an activity or is represented, that part of the whole group is a fraction. The money left over from a whole dollar, the change, is also a fraction. It is part of a whole dollar. Parts of a Whole

One way to write fractions numerically, is with a fraction bar. If there are 12 boys in a classroom with 25 students, 12 out of 25 kids are boys. The boys are a fraction of the group. We can write that this way: Writing Fractions

12  numerator 25  denomiator The numerator is the number on top. It represents the part of the whole group. The denominator is the bottom number. It represents the whole group. The numerator should always be smaller than the denominator. Fraction Vocabulary

Fractions are often easier to understand through models with pictures. We can look at the parts of the whole that are shaded or un-shaded. Each part of the whole represents a fraction. Modeling Fractions

Modeling fractions What fraction of the shaded pieces is represented by the model? 4 6

Modeling fractions What fraction of the un-shaded pieces is represented by the model? 1 3

Review: Comparing Numbers Vocabulary: greater than > less than < equal = Both parts of the fraction need to be considered when comparing.

Comparing Fractions The denominator, or bottom of the fraction, indicates the total number of parts there are in the whole. The larger denominator, the more pieces. The more pieces the whole is broken into, the smaller the fraction.

Comparing Fractions The numerator, or the top, tells us how many pieces of the whole we are considering. The larger numerator, the larger the fraction.

Comparing Fractions

In the the fraction 1 / 3, 1 piece of 3 total are shaded. In the fraction 1 / 6, 1 piece of 6 total are shaded. To answer your question about which fraction is larger, you just need to look at both pies, and decide which one has more shading. The pie with the most shading represents the larger fraction.

Comparing Fractions <

Comparing Fractions With Unlike Denominators & Numerators

To determine which fraction is larger, you just need to look at both pies, and decide which one has more shading. The pie with the most shading represents the larger fraction. In this case, the pie showing 2 / 4 has more shading than the pie showing 3 / 8. This means that 2 / 4 is larger than 3 / 8.

Comparing Fractions With Unlike Denominators & Numerators >

Practice 3 ? >

When the numerator of the fraction is the same as the denominator, the fraction equals one. This is because the total number in the group is the same as the number of pieces represented Fractions Equaling One

All four pieces out of a total of four pieces are shaded. 4 4 Fractions Equaling One

Often times, there are fractions with different numbers, but they can take up the same amount of space in a whole. These are equivalent fractions. Equivalent fractions are two fractions that are the same amount. The word equivalent means equal in value or measure. Equivalent Fractions

We have learned that fractions are a part of a whole, but have only looked at them represented as numbers and as models. Remember that fractions indicate the part of the whole group that is being represented. Fractions of a Group

For Example: If there are ten dogs at the park, and four of those dogs are brown, what fraction of the dogs are brown? Four out of ten dogs are brown Fractions of a Group

What fraction of the bells are green? Three out of six bells are green. 3 6 Fractions of a Group

What fraction of the group is white? One out of five are white. 1 5 Fractions of a Group

What is ½ of 6? 3 Fractions of a Group

What is ¼ of 4? 1 Fractions of a Group