Equivalent fractions

Learning Objectives Define equivalent fractions and explain their meaning. Identify equivalent fractions using visual models (e.g., fraction bars, circles). Generate equivalent fractions by multiplying both the numerator and denominator by the same non-zero whole number. Generate equivalent fractions by dividing both the numerator and denominator by a common non-zero factor. Simplify fractions to their simplest form using common factors. Determine if two given fractions are equivalent using multiplication or division. Imagine you have a delicious chocolate bar! 🍫 If you eat 1/2 of it, and your friend eats 2/4 of a *same-sized* chocolate bar, did you both eat the same amount? In this lesson, you'll discover that fractions can look different but still represent the exac...

TermDefinitionExample FractionA number that represents a part of a whole or a part of a set.If a pizza is cut into 8 slices and you eat 3, you've eaten 3/8 of the pizza. NumeratorThe top number in a fraction, which tells you how many parts of the whole or set are being considered.In the fraction 5/6, the numerator is 5. DenominatorThe bottom number in a fraction, which tells you the total number of equal parts the whole or set is divided into.In the fraction 5/6, the denominator is 6. Equivalent FractionsFractions that have different numerators and denominators but represent the exact same value or amount.1/2 and 2/4 are equivalent fractions because they both represent half of a whole. Simplest Form (or Lowest Terms)A fraction is in its simplest form when its numerator and denominato...

Generating Equivalent Fractions (Multiplication) $\frac{a}{b} = \frac{a \times c}{b \times c}$ (where $c$ is any non-zero whole number) To find a fraction equivalent to a given fraction, multiply both the numerator and the denominator by the same non-zero whole number. This is like multiplying the fraction by a special form of 1 (e.g., 2/2, 3/3), so the value of the fraction doesn't change. Generating Equivalent Fractions (Division/Simplifying) $\frac{a}{b} = \frac{a \div c}{b \div c}$ (where $c$ is a common non-zero factor of $a$ and $b$) To find a fraction equivalent to a given fraction, or to simplify a fraction to its simplest form, divide both the numerator and the denominator by the same common non-zero factor. This also keeps the value of the fraction the same....