Milos bring 12 hamburgers to the barbecue. He puts cheese on 4 hamburgers. Draw to show the fraction. Write two equivalent fractions. Explain why they are equivalent fractions
4/12 = 2/6 = 1/3
To represent the fraction of hamburgers with cheese, we can use a visual representation called a fraction bar. We will divide the fraction bar into 12 equal parts since Milos brought 12 hamburgers.
To show that 4 out of the 12 hamburgers have cheese, we shade or indicate 4 parts out of the 12 equal parts. The fraction can be written as 4/12.
Two equivalent fractions have different numerator and denominator but represent the same value. To find equivalent fractions, we can multiply or divide both the numerator and denominator by the same number.
For example, to find an equivalent fraction with a numerator of 8, we can multiply both the numerator and denominator of 4/12 by 2. This gives us 8/24.
To explain why these fractions are equivalent, we can simplify both fractions to their simplest form. Simplifying 4/12, we can divide both the numerator (4) and denominator (12) by their greatest common divisor, which is 4. This gives us 1/3.
Similarly, simplifying 8/24, we can divide both the numerator (8) and denominator (24) by their greatest common divisor, which is 8. This also gives us 1/3.
Therefore, 4/12, 8/24, and 1/3 are equivalent fractions because simplifying both fractions results in the same simplified fraction, which is 1/3.