MOY 6th Grade 2024

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 5 hamburgers to 6 hot dogs is written as 5:6.

To convert a fraction to a percent, divide the numerator by the denominator and then multiply the result by 100. For example, to convert $$\frac{15}{20}$$ to a percent, calculate $$\frac{15}{20} = 0.75$$ and then multiply by 100 to get 75%.

The formula to find the percent of a quantity is: Percent = (Part/Whole) x 100. For example, if you have 15 out of 20 objects, the percent is $$(15/20) \times 100 = 75$$ .

Two drinks have the same amount of sweetness if they contain the same amount of sugar per the same volume. For example, if both drinks have 36 grams of sugar in 12 ounces, they are equally sweet.

To divide a mixed number by a fraction, first convert the mixed number to an improper fraction, then multiply by the reciprocal of the fraction. For example, to divide $$5\frac{1}{2}$$ by $$\frac{3}{4}$$ , convert to $$\frac{11}{2}$$ and multiply by $$\frac{4}{3}$$ .

The amount of sugar in grams is directly related to the sweetness of a drink; more grams of sugar typically mean a sweeter drink. For example, Drink A with 36 grams is less sweet than Drink B with 44 grams.

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 10:15 can be simplified to 2:3 by dividing both by 5.

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

To find the total number of batches from a given amount of flour, divide the total amount of flour by the amount required for one batch. For example, with 5 $$\frac{1}{2}$$ cups of flour and a requirement of $$\frac{3}{4}$$ cup per batch, calculate $$5\frac{1}{2} \div \frac{3}{4}$$ .

The denominator in a fraction indicates the total number of equal parts the whole is divided into. For example, in $$\frac{3}{4}$$ , the denominator 4 means the whole is divided into 4 equal parts.