Fractions and Their Operations Flashcards (23 cards)

All cards

1Question

What does a fraction represent?

Answer

A part of a whole divided into equal parts.

2Question

Where is the numerator located in a fraction?

Answer

Above the fraction bar.

3Question

What do equivalent fractions represent despite having different forms?

Answer

The same value.

4Question

How is a fraction simplified?

Answer

Divide its numerator and denominator by a common factor.

5Question

How do you calculate the numerator when converting a mixed fraction to an improper fraction?

Answer

Multiply the whole-number part by the denominator, then add the numerator.

6Question

What denominator is used when converting a mixed fraction to an improper fraction?

Answer

The original denominator.

7Question

What defines like fractions?

Answer

They have the same denominator.

8Question

What defines unlike fractions?

Answer

They have different denominators.

9Question

How can unlike fractions be compared?

Answer

Convert them to fractions with a common denominator.

10Question

How are like fractions added or subtracted?

Answer

Operate on the numerators while keeping the common denominator.

11Question

What must happen before adding or subtracting unlike fractions?

Answer

Convert them to fractions with a common denominator.

12Question

How do you multiply two fractions?

Answer

Multiply the numerators together and the denominators together.

13Question

How do you divide one fraction by another?

Answer

Multiply the first fraction by the reciprocal of the second.

14Question

What numerator does a unit fraction have?

Answer

One.

15Question

When is a fraction in simplest form?

Answer

When its numerator and denominator have no common factor other than one.

16Question

How do you find the whole-number part when converting an improper fraction to a mixed fraction?

Answer

Divide the numerator by the denominator and use the quotient.

17Question

How do you find the numerator when converting an improper fraction to a mixed fraction?

Answer

Use the remainder from dividing the numerator by the denominator.

18Question

What fraction form can represent a decimal such as 31.7?

Answer

A fraction.

19Question

How can fractions be arranged in ascending or descending order?

Answer

Compare their values.

20Question

How can you simplify a fraction product?

Answer

Cancel common factors between its numerator and denominator.

21Question

What should you identify first when solving a fraction word problem?

Answer

The quantities involved.

22Question

What should you choose after identifying quantities in a fraction word problem?

Answer

The required fraction operation.

23Question

What is the final step in solving a fraction word problem?

Answer

Calculate the result.

Test yourself with the quiz

Answer 15 questions on Fractions and Their Operations.

1. A shape is divided into equal-sized regions, and some regions are shaded. What does the fraction describing the shaded part represent?

2. In the fraction 58\frac{5}{8}, which number is the denominator?

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Go over the full study guide for Fractions and Their Operations.

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