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Grade 6 Decimal Fractions

Interactive step-by-step solver for understanding decimal fractions and solving related problems.

Grade 6 Decimal Fractions
Back to Grade 6 Chapter 6: Ratio and Proportion
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Practice Mode
Related Concepts

Step-by-Step Learning

Learn about decimal fractions through these example problems with detailed step-by-step solutions.

Example 1: Adding Decimal Fractions

Calculate the value of \(2.34 + 1.56\).

Step 1: Align the decimals by their decimal points: 
  2.34
+ 1.56
------
Step 2: Add the numbers as if they were whole numbers, ensuring the decimal point remains aligned: 
  2.34
+ 1.56
------
  3.90
Step 3: Verify the number of decimal places. Both numbers have 2 decimal places, so the sum has 2 decimal places.
Step 4: Therefore, \(2.34 + 1.56 = 3.90\), or \(3.9\).
Adding Decimals: Expression: \(2.34 + 1.56\) Align and add: \(2.34 + 1.56 = 3.90\) Result: \(3.9\)

Example 2: Subtracting Decimal Fractions

Calculate the value of \(5.7 - 2.19\).

Step 1: Align the decimals by their decimal points, adding zeros to make the number of decimal places equal: 
  5.70
- 2.19
------
Step 2: Subtract as if they were whole numbers, ensuring the decimal point remains aligned: 
  5.70
- 2.19
------
  3.51
Step 3: Verify the number of decimal places. The result has 2 decimal places, matching the number with more decimal places (2.19).
Step 4: Therefore, \(5.7 - 2.19 = 3.51\).
Subtracting Decimals: Expression: \(5.7 - 2.19\) Align and subtract: \(5.70 - 2.19 = 3.51\) Result: \(3.51\)

Example 3: Converting a Fraction to a Decimal

Convert the fraction \(\frac{3}{4}\) to a decimal.

Step 1: To convert a fraction to a decimal, divide the numerator by the denominator.
Step 2: Divide 3 by 4: \(3 \div 4 = 0.75\).
Step 3: Verify by multiplying: \(0.75 \times 4 = 3\), which confirms the result.
Step 4: Therefore, \(\frac{3}{4} = 0.75\).
Fraction to Decimal: Fraction: \(\frac{3}{4}\) Divide: \(3 \div 4 = 0.75\) Result: \(0.75\)

Practice Mode

Enter your own problem related to decimal fractions, and get a step-by-step solution.

Note: This basic solver can currently handle addition and subtraction of decimal fractions (e.g., Calculate 2.34 + 1.56; Calculate 5.7 - 2.19) and converting fractions to decimals (e.g., Convert 3/4 to a decimal).

Related Concepts

Explore these related mathematical concepts to deepen your understanding of decimal fractions.

Decimal Fractions

Decimals represent fractions with denominators that are powers of 10 (e.g., 0.75 = \(\frac{75}{100}\)).

Place Value

In decimals, digits to the right of the decimal point represent tenths, hundredths, thousandths, etc.

Adding/Subtracting Decimals

Align decimal points and add or subtract as with whole numbers, maintaining the decimal position.

Fraction to Decimal Conversion

Divide the numerator by the denominator to convert a fraction to a decimal.