Essential Math 7 - Unit Rates and Ratios of Fractions

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Unit Rates and Ratios of Fractions are topics taught in the Essential Math 7 curriculum. These concepts are important in understanding proportions, scaling, and comparing values.

Unit Rates refer to the rate of one quantity in terms of another quantity. For example, if you are comparing the price of a product with its quantity, the unit rate would be the cost per unit. To calculate the unit rate, divide the given quantity by the given value. For instance, if a car travels 240 miles in 4 hours, the unit rate of speed would be 240/4 = 60 miles per hour.

Ratios of Fractions involve comparing two fractions. A ratio is a comparison of two quantities, typically written in the form of a/b. When dealing with fractions, the numerator and denominator are compared. To compare ratios of two fractions, you can cross-multiply. For example, if you have the ratio 3/4 to 6/8, you can cross-multiply by multiplying 3 * 8 = 24 and 4 * 6 = 24. Since both cross products are equal, the two ratios are equivalent.

To fully understand and solve problems related to Unit Rates and Ratios of Fractions, it is important to practice various examples and exercises. This will help build familiarity with the concepts and improve your problem-solving skills.