Scribd
Upload
7 views2 pages

Fractions and Decimals

The document covers key concepts related to fractions and decimals, including definitions, types of fractions, and conversion methods between the two. It provides practice problems and key formulas for converting fractions to decimals and vice versa. Additionally, it includes reminders for simplifying fractions and questions for further understanding.

Uploaded by

yanagreet328
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
7 views2 pages

Fractions and Decimals

The document covers key concepts related to fractions and decimals, including definitions, types of fractions, and conversion methods between the two. It provides practice problems and key formulas for converting fractions to decimals and vice versa. Additionally, it includes reminders for simplifying fractions and questions for further understanding.

Uploaded by

yanagreet328
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
You are on page 1/ 2

Math Lesson Notes

Date: January 27, 2025


Topic: Fractions and Decimals

Key Concepts:

1. Fractions:
o A fraction represents a part of a whole.
o Example: ½ (one-half), ⅓ (one-third).
o Numerator: The top number (represents parts taken).
o Denominator: The bottom number (represents total parts).
2. Types of Fractions:
o Proper Fraction: Numerator < Denominator (e.g., 3/4).
o Improper Fraction: Numerator > Denominator (e.g., 5/3).
o Mixed Number: Whole number + proper fraction (e.g., 2½).
3. Converting Improper Fractions to Mixed Numbers:
o Divide the numerator by the denominator.
o The quotient is the whole number.
o The remainder becomes the new numerator.
4. Decimals:
o A decimal is another way to represent a fraction.
o Example: 0.5 = ½, 0.25 = ¼.
5. Converting Fractions to Decimals:
o Divide the numerator by the denominator.
o Example: 3/4 = 3 ÷ 4 = 0.75.
6. Converting Decimals to Fractions:
o Write the decimal as a fraction (0.75 = 75/100).
o Simplify the fraction (75/100 = 3/4).

Practice Problems:

1. Convert the improper fraction 9/4 to a mixed number.


o 9 ÷ 4 = 2 R1, so 9/4 = 2¼.
2. Write 0.6 as a fraction and simplify.
o 0.6 = 6/10 = 3/5.
3. Convert 7/8 to a decimal.
o 7 ÷ 8 = 0.875.

Key Formulas:

 Fraction to Decimal: Divide numerator by denominator.


 Decimal to Fraction: Place decimal over its place value (0.5 = 5/10), then simplify.

Reminders:
 Always simplify fractions to their lowest terms.
 Check your work to avoid calculation errors.

Questions I Had:

1. How do you know when a fraction is already in its simplest form?


2. Is there a shortcut for converting repeating decimals to fractions?

Additional Notes:

 A fraction bar (/) is also considered a division symbol.


 Practice helps with getting faster at conversions!

You might also like