Mastering Fractions, Decimals, and Ratios

Revision sheet excerpt

Course Outline

  1. Fractions in Decimals
  2. Converting Fractions
  3. Fraction of a Quantity
  4. Percentages Calculation
  5. Percentage Increase/Decrease
  6. Interest and GST
  7. Ratio Simplification
  8. Ratio Conversion and Splitting
  9. Rate Calculations
  10. Standard Form Numbers

1. Fractions in Decimals

Key Concepts & Definitions

  • Converting decimal amounts spent into fractions using calculator (SD button):
    This process involves entering the decimal amount as the numerator and the total amount as the denominator, then pressing the SD (simplify) button on the calculator to automatically reduce the fraction to its simplest form. For example, to convert 24.80spentoutof24.80 spent out of 40, input 24.80/40, then press SD to get 31/50.

  • Subtracting fractions from a whole to find remaining fraction:
    To determine the part of a whole that remains after subtracting fractions, convert the fractions to a common denominator or decimal form, then subtract from 1 (the whole). For example, if you have 1/8 and 2/5, convert and subtract to find the remaining fraction.

  • Finding the fraction of a quantity by dividing by the denominator and multiplying by the numerator:
    To find a specific fraction of a quantity, divide the total by the denominator, then multiply the result by the numerator. For example, to find 3/7 of 560kg, divide 560 by 7, then multiply by 3, resulting in 240kg.

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Quiz preview

1. What does converting a fraction into a decimal mean?

2. Which calculator function is used to simplify fractions derived from decimal amounts?

3. What is the role of dividing the total by the denominator and then multiplying by the numerator when finding a fraction of a quantity?

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Flashcards preview

Fractions in Decimals — conversion method?

Use calculator SD button to simplify fractions from decimals.

Subtracting fractions from whole — process?

Convert to common denominator or decimal, then subtract from 1.

Fraction of a quantity — formula?

(Total ÷ denominator) × numerator.

Percentages calculation — basic step?

(Total ÷ 100) × percentage.

Percentage increase — formula?

(Difference ÷ original) × 100.

Interest and GST — basic calculation?

Apply percentage formulas; multiply or divide as needed.

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Frequently asked questions

What does the revision sheet on Mastering Fractions, Decimals, and Ratios cover?

The revision sheet covers the essential concepts of Mastering Fractions, Decimals, and Ratios. It is organized by topic to facilitate learning and memorization, with key definitions, explanations and summaries.

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How many questions are in the Mastering Fractions, Decimals, and Ratios quiz?

The quiz contains 10 multiple-choice questions with detailed corrections and explanations for each answer. Ideal for testing your knowledge and identifying gaps.

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How to study Mastering Fractions, Decimals, and Ratios with flashcards?

Revizly offers 20 interactive flashcards on Mastering Fractions, Decimals, and Ratios. Each card presents a question on the front and the answer on the back, enabling active and effective revision based on spaced repetition.

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