Fractions Operations and Properties

Fractions

Adding Fractions

Adding fractions involves adding numerators and adding denominators. To add fractions, the denominators must be the same. If the denominators are not the same, the fractions must be made equivalent. Similar fractions have the same numerator and the same denominator.

1/4 + 1/4 = 1/2
2/5 + 3/5 = 5/5 = 1

Subtracting Fractions

Subtracting fractions involves subtracting numerators and subtracting denominators. To subtract fractions, the denominators must be the same. If the denominators are not the same, the fractions must be made equivalent.

1/4 - 1/4 = 0
2/5 - 3/5 = -1/5

Multiplying Fractions

Multiplying fractions involves multiplying the numerators and multiplying the denominators. To multiply fractions, the denominators must be the same.

1/4 * 1/4 = 1/16
2/5 * 3/5 = 6/25

Dividing Fractions

Dividing fractions involves dividing the numerators and dividing the denominators. To divide fractions, the denominators must be the same.

1/4 ÷ 1/4 = 1/1
2/5 ÷ 3/5 = 2/3

Equivalent Fractions

Equivalent fractions are fractions that have the same value. The values of equivalent fractions are equal.

1/4 = 2/8 = 3/12
2/5 = 4/10 = 6/15

Simplifying Fractions

Simplifying fractions involves making the numerator as small as possible. To simplify fractions, the numerator and the denominator must be divided by their greatest common divisor (GCD).

1/4 = 1/4 = 1/4
2/5 = 2/5 = 2/5

Representing Fractions Using Drawings

Fractions can be represented using drawings. A fraction is a part of a whole.

1/4 of a circle
2/5 of a rectangle

In conclusion, fractions are a way to express parts of a whole. Fractions can be added, subtracted, multiplied, and divided. Fractions can be made equivalent, simplified, and represented using drawings.

This quiz covers the basics of fractions, including adding, subtracting, multiplying, and dividing fractions. It also explores equivalent fractions, simplifying fractions, and representing fractions using drawings.