A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

What is the method to compare fractions?

To compare fractions, convert them to have a common denominator or convert them to decimal form. For example, to compare $$\frac{1}{4}$$ and $$\frac{1}{9}$$ , convert to a common denominator of 36: $$\frac{9}{36}$$ and $$\frac{4}{36}$$ . Since 9 > 4, $$\frac{1}{4} > \frac{1}{9}$$ .

How do you find the remainder in division?

To find the remainder, divide the dividend by the divisor and subtract the product of the quotient and divisor from the dividend. For example, in $$1482 ÷ 12$$ , the quotient is 123 and the remainder is $$1482 - (123 \times 12) = 6$$ .

What is the concept of equivalent fractions?

Equivalent fractions are different fractions that represent the same value. For example, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ and $$\frac{4}{8}$$ .

How do you subtract fractions?

To subtract fractions, ensure they have a common denominator, then subtract the numerators. For example, to subtract $$\frac{7}{12}$$ and $$\frac{1}{3}$$ , convert $$\frac{1}{3}$$ to $$\frac{4}{12}$$ , then subtract: $$\frac{7}{12} - \frac{4}{12} = \frac{3}{12} = \frac{1}{4}$$ .

What is the importance of understanding ratios?

Ratios compare two quantities and show their relative sizes. For example, a ratio of 2:3 means for every 2 parts of one quantity, there are 3 parts of another.

How do you find the total number of items when given a ratio?

To find the total number of items from a ratio, add the parts of the ratio together and divide the total quantity by this sum. For example, in a ratio of 2:3 with 25 items, the total parts are 5, so each part is 5, giving 10 and 15 items respectively.

What is the concept of sharing equally?

Sharing equally means dividing a total amount into equal parts. For example, if 12 trainers are shared among 3 students, each student gets $$\frac{12}{3} = 4$$ trainers.

Math IA2(Mid-Year) Final 24-25 Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

How do you add fractions with different denominators?

Back

3.

FLASHCARD QUESTION

Front

What is the process to find the least common multiple (LCM)?

Back

To find the LCM of two numbers, list the multiples of each number until you find the smallest common multiple. For example, for 4 and 6, the multiples are 4, 8, 12, 16... and 6, 12, 18... The LCM is 12.

4.

FLASHCARD QUESTION

Front

What is the process to find the greatest common divisor (GCD)?

Back

To find the GCD of two numbers, list the factors of each number and identify the largest factor they share. For example, for 12 and 16, the factors are 1, 2, 3, 4, 6, 12 and 1, 2, 4, 8, 16. The GCD is 4.

5.

FLASHCARD QUESTION

Front

How do you convert a mixed number to an improper fraction?

Back

6.

FLASHCARD QUESTION

Front

What is the formula for finding the area of a rectangle?

Back

The area of a rectangle is found using the formula: Area = length × width.

7.

FLASHCARD QUESTION

Front

How do you solve a word problem involving money spent on items?

Back

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