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Math Fundamentals: Fractions, Decimals, Percentages, Geometry, and Ratios

Test your knowledge of math fundamentals, including fractions, decimals, percentages, geometry, and ratios. Covers concepts such as equivalent fractions, simplifying fractions, and properties of 2D shapes. Assess your understanding of math basics.

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@RelaxedRiemann

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

<p>360°</p> Signup and view all the answers

What is the simplified ratio of 12:18?

<p>2:3</p> Signup and view all the answers

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

<p>5/12</p> Signup and view all the answers

What is the equivalent fraction of the decimal 0.75?

<p>3/4</p> Signup and view all the answers

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

<p>3/2</p> Signup and view all the answers

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

<p>6:8</p> Signup and view all the answers

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

<p>1/4</p> 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
• 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

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