Fractions and Decimal Models - 5th Grade - Oryx Learning - Math lessons, practice material and activities.

G5 - 2.1 Fractions and Decimal Models

2.1 Fractions and Decimal Models

Write the fraction that represents the shaded area.

Fill in the missing number.

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Concepts – Decimal Numbers

Decimals and fractions can be used in different ways to represent the same value. Both can represent whole numbers and parts of a whole. Many models can be used to represent decimals and fractions.

Rules

To convert a fraction to a decimal, write an equivalent fraction with a denominator of a multiple of ten. Then write the decimal-based on the place value of the denominator.

To convert a decimal to a fraction, write the digits over its place value (tenths, hundredths, etc.) and reduce the fraction.

Example

Write the decimal that represents the shaded area.
Fill in the missing number.

Solution

The grid above represents 1 whole shape. Looking at the number of shaded cells, it can be seen that the answer is going to be less than one. The number of shaded cells (55), and the fraction (), means that 55 out of 100 cells are shaded.

Since the 100 in represents a hundredth, the answer will go in the tenths & hundredths position in the place value chart. 55 is made up of 5 tenths & 5 hundredths, so 55 will be entered in 2 steps; 5 in tenths & 5 in hundredths position to the right of the decimal point.