Express each rate as a fraction and simplify.1414 cups of flour for every 2121 cups of sugar

2flour3sugar\frac{2flour}{3sugar}

Express each rate as a fraction and simplify. 14 14 cups of flour for every 21 21 cups of sugar

For this problem, we need to express this rate as a fraction and simplify. We have the rate 14 cups of flour for every 21 cups of sugar. So first, let's write this as a fraction. We're gonna take our first value on the left here, 14 cups of flour, and put that in our numerator. And then our second value on the right, 21 cups of sugar, goes in the denominator. Next, let's take a look at our units. Both the numerator and the denominator has cups in our units, so since they are the same, they can reduce to one, and we'll cross them out. But flour and sugar are not the same, so we're going to keep those as is. Next, let's take a look at our values. We have 14/21. 14 breaks down into 2 x 7, so we have 2 x 7, flour up top. And 21 breaks down into 3 x 7, so we have 3 x 7 sugar below. Here we have a common factor of 7, that will reduce to 1, leaving us with 2 parts flour in our numerator, and 3 parts sugar in our denominator. So what this means is that no matter what our measuring device is, it could be teaspoons, tablespoons, pounds, cups, it'll always be 2 parts flour to 3 parts sugar.