Expressing Equivalent Fractions

Let's find equivalent fractions.

First, what fraction of this shape is pink? On the left, there are five rectangles that are pink. We can also split the right half of the shape into five equal rectangles. So, five out of 10 equal rectangles are pink. The fraction is 510.

Now, let's find a different fraction that equals 5/10. The pink area is exactly half of the whole rectangle.

This means 510 is equivalent to 1/2.

Here's the math behind it. The fraction 1/2 is equivalent to 5/10 because we can simplify by dividing. If we divide both the numerator 5 and the denominator 10 by the same number 5, we get a new fraction. 5 / 5 = 1 and 10 / 5= 2. That gives us 1/2. We can also create equivalent fractions by multiplying.

Here we multiply both the numerator and denominator by 2. 5 * 2 = 10 and 10 * 2 = 20. So the fraction 10 20ths is also equivalent to 510. Let's look at a different fraction. 8/10 of this square is pink. To find an equivalent fraction, let's simplify. We need to find a number that divides evenly into both 8 and 10.

Since they're both even, we can divide by 2. 8 / 2 = 4 and 10 / 2 = 5. So 8/10 is equivalent to 4 fths.

Here 46 of the square is yellow. Let's find another fraction that equals 4 6.

This time let's multiply the numerator and denominator by the same number. If we multiply 4 by 2, we get 8. And if we multiply 6 by 2, we get 12. So 46 is the same as 8 12ths. 46 is equivalent to 8 12ths. We can simplify both to 2/3. To show this with math, we can simplify 8 12ths by dividing the top and bottom by 4. 8 / 4 = 2 and 12 / 4= 3. Equivalent fractions can be created by either multiplying or dividing both the numerator and the denominator by the same number.