## Questions and Answers

What is the result of multiplying the fraction 3/4 by 2/5?

3/10

What is the decimal equivalent of the fraction 3/8?

0.375

What is the percentage increase from 50 to 60?

16.7%

What is the sum of the interior angles of a quadrilateral?

Signup and view all the answers

What is the simplified ratio of 12:18?

Signup and view all the answers

What is the result of adding the fractions 1/4 and 2/6?

Signup and view all the answers

What is the equivalent fraction of the decimal 0.75?

Signup and view all the answers

What is the result of dividing the fraction 2/3 by 3/4?

Signup and view all the answers

What is the result of scaling the ratio 3:4 by a factor of 2?

Signup and view all the answers

What is the result of converting the percentage 25% to a fraction?

Signup and view all the answers

## Study Notes

### Fractions

- A fraction represents a part of a whole
- Consists of a numerator (top number) and a denominator (bottom number)
- Equivalent fractions: fractions that have the same value, e.g. 1/2 = 2/4
- Simplifying fractions: dividing both numerator and denominator by their greatest common divisor (GCD)
- Comparing fractions: comparing sizes by converting to equivalent fractions with the same denominator
- Adding and subtracting fractions: requires common denominator, then add or subtract numerators
- Multiplying fractions: multiply numerators and denominators separately
- Dividing fractions: invert and multiply (i.e. flip the second fraction and multiply)

### Decimals

- A decimal is a way to represent a fraction with a denominator of 10, 100, 1000, etc.
- Decimals can be converted to fractions and vice versa
- Comparing decimals: compare digits from left to right
- Rounding decimals: rounding to a certain number of decimal places
- Operations with decimals: similar to fractions, but with decimal points

### Percentages

- A percentage is a fraction with a denominator of 100
- Percent increase/decrease: finding the percentage change between two values
- Percentage of a number: finding a percentage of a value
- Calculating percentages: multiplying by a percentage as a decimal
- Converting between fractions, decimals, and percentages

### Geometry

- Points: locations in space, represented by coordinates (x, y)
- Lines: sets of points extending infinitely in two directions
- Line segments: parts of lines with a fixed length
- Angles: formed by two rays sharing a common endpoint
- Types of angles: acute (< 90°), right (90°), obtuse (> 90°), straight (180°)
- Properties of 2D shapes:
- Number of sides and vertices
- Types: quadrilaterals, triangles, polygons
- Sum of interior angles

### Ratios

- A ratio is a comparison of two quantities
- Writing ratios: using a colon (:) or as a fraction
- Equivalent ratios: ratios that have the same value, e.g. 2:4 = 1:2
- Simplifying ratios: dividing both numbers by their greatest common divisor (GCD)
- Comparing ratios: comparing sizes by converting to equivalent ratios
- Scaling ratios: multiplying or dividing both numbers by the same value

## Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.