Fractions, Decimals, and Percents

In grade 7, you need to be able to work with fractions decimals and percents. For review, I would start with Benchmark Fractions, Decimals, and Percents.


here is the link to the relevant Math Is Fun webpage: Fractions, Decimals, and Percents.


Make sure you can multiply and divide by benchmark decimals. Start with 0.5. Notice the following pattern:

4 x 3 = 12
4 x 2 = 8
4 x 1 = 4
4 x 0.5 = 2
4 x 0.25 = 1

Notice how as the 2nd term gets smaller (3, 2, 1, 0.5, 0.25) the product gets smaller as well (12, 8, 4, 2, 1).you can see the logic in the pattern. Just make sure you follow this logic when you make the transition from multiplying by a whole number (1) to multiplying by a decimal number that is less than one (0.5). Notice that the product is now smaller than the original term (4).

Notice that multiplying by 0.5 is the same as dividing by 2:

4 x 0.5 = 2
4÷2 = 2

Notice the opposite trend when you divide by decimals:

12÷4 = 3
12÷3 = 4
12÷2 = 6
12÷1 = 12
12÷0.5 = 24

notice that dividing by 0.5 is the same as multiplying by 2

12÷0.5 = 24
12×2 = 24
4÷0.5 = 8
4×0.5 = 2