Grade 6 Fractions & Decimals Study Guide

Grade 6 Fractions and Decimals Study Guide

Relate improper fractions to mixed numbers and mixed numbers to improper fractions

-Example questions: Write 1 4/8 as an improper fraction. Write 29/9 as a mixed number fraction. We learned a formula for doing these conversions.

Compare and order mixed number and improper fractions

-For example, you may be given a number line from 0 to 2 and be asked to order the following fractions from least to greatest: 1 ¾, 9/8, and 3/2. 

-Know how to use symbols to represent greater than, equal to, or less than (< = >).

Represent ratios in a variety of ways (using the word ‘to’, using the symbol ‘:’, as a fraction, and by drawing pictures.

-Example question: represent the ratio 2:6 in two other ways (2 to 6, 2/6)

-Know how to write a ratio based on a picture (for example, 6 bats and 3 balls = 6:3).

-Understand that a ratio can be written either way (for example, balls to bats (3:6) or bats to balls (6:3).

Know how to find equivalent ratios

-For example, to find an equivalent ratio to 3:6, simply multiply both numbers by 2 (6:12)

Know how to relate fractions, decimals, and percents

-For example, 40/100, .40, and 40% all represent the same amount. 

-Be able to represent decimals, fractions, and percentages on a 10 x 10 (hundreds) grid

-Be able to determine what percent is shaded from a pictorial representation (for example, 4 of 8 sections of a pizza are shaded, what percent is shaded?).

-Be able to convert a decimal or a fraction to a percent (for example, to find the percent of 4/50, multiply the numerator and denominator by 2 so that the denominator is 100 (A = 8%). If you cannot make the denominator out of 100, remember the formula (numerator x 100 divided by the denominator = %). 

Vocabulary

Numerator – The top number in a fraction, this number tells how many equal parts are counted.

Denominator – The bottom number in a fraction (remember, D = Down). This number tells how many equal parts are in 1 whole.

Mixed Number Fraction – Has a whole number part and a fraction part (example: 1 ½).

Improper Fraction – Shows an amount greater than one whole (example: 7/2).

Ratio – Comparison of two quantities with the same unit.