Arithmetic (all content)
Visualizing equivalent fractions review
Review equivalent fractions with fraction models and number lines, and try some practice problems.
Fractions are equivalent if they are equal or represent the same amount.
Let's look at an example.
First, we can draw .
A circle divided into two equal parts with one part shaded.
Now, let's divide the same whole into eighths.
A circle divided into eight equal parts. This circle is the same size as the original circle.
How can we shade the whole to show a fraction that is equivalent to ?
The circle that was divided into eight equal parts is shown with four parts shaded. This shows the same area shaded as the circle that was divided into two parts with one part shaded.
We shaded of the sections.
Let's visualize another equivalent fraction using a number line.
Numbers are equivalent when they are located at the same point on the number line.
First, we can show on a number line:
A number line that has, moving from left to right, a starting tick mark at 0, 2 unlabeled tick marks, a tick mark at three-fifths, 1 unlabeled tick mark, and a tick mark at 1. There is a blue point at the three-fifths tick mark.
Now, let's divide our number line into tenths and see what fraction is located at the same point as .
A number line that has, moving from left to right, a starting tick mark at 0, a tick mark at one-tenth, 8 unlabeled tick marks, and a tick mark at 1. There is a blue point 6 tick marks to the right of 0, which is the same point on the number line as the point at three-fifths on the previous number line. Starting at 0, every second tick mark is emphasized.
and are located at the same point on the number line.
A number line labeled zero to 1 with tick marks every one-tenth unit. Above the number line, the tick mark at zero is labeled zero, the tick mark at two-tenths is labeled one-fifth, the tick mark at four-tenths is labeled two-fifths, the tick mark at six-tenths is labeled three-fifths, the tick mark at eight-tenths is labeled four-fifths, and the tick mark at 1 is labeled 1. A blue point appears at the tick mark labeled six-tenths and three-fifths.
Want to learn more about visualizing equivalent fractions? Check out this video.
Complete the equation.
A circle divided into five equal parts with two parts shaded.
The same size circle as above divided into ten equal parts. None of the parts are shaded.
Want to try more problems like this? Check out this exercise.
Want to join the conversation?
- what if the top is larger then the bottom(57 votes)
- then it is an "inproper fraction"(13 votes)
- do you know what is equivalent to 5/3(39 votes)
- If you have the denominator for the question say 2/3=x/6 multiply 2 times 6 and then divide by 3 to get 4.(28 votes)
- This was a good exercise for your brain!(27 votes)
- i like how other peeps are helping each other(21 votes)
- if the top of the fraction (the numerator) is a larger the bottom(denominator) it called a greater than one fraction as in greater than one whole(12 votes)
- That's correct. If the numerator is the same as the denominator, it equals 1.
If the numerator is greater than the denominator, it is greater than 1.(15 votes)
- What is equivalent to 5/3(12 votes)
- anyone who has to do this is in the online schooling period, right?(7 votes)
- I am proud of myself I got 4/4(8 votes)
- am i bad at math(1 vote)
- Of course not! Maybe you are stronger or better at something else, such as language arts, but that doesn't mean you're bad at math!
- why is math so dumd(4 votes)