Question Video: Finding the Ratio between the Numbers of Two Groups of Objects in Simplest Form Mathematics • 6th Grade

Find the ratio of the number of squares to the number of triangles in its simplest form.

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Video Transcript

Find the ratio of the number of squares to the number of triangles in its simplest form.

When we work with ratios, we know that order is very important. In this case, we’re looking for the ratio of squares to the number of triangles. However, we notice that we do wanna find this in simplest form. The first thing we need to do is find out how many squares and how many triangles are in our image. In total, we have 14 squares and eight triangles. Since the ratio is squares to triangles, the number of squares come first and triangles second. And that means we have a ratio of 14 to 8. And when written as a fraction, 14 is the numerator and eight is the denominator.

To find this value in simplest form, we need to determine if eight and 14 have any common factors. Both 14 and eight are even numbers and therefore divisible by two. 14 divided by two is seven. Eight divided by two is four. So we have an equivalent ratio of seven to four. We know that seven is a prime number, and that means seven and four will not share any additional factors apart from one. And that means seven to four is the simplest form of the ratio of squares to triangles here.

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