Multiplying Fractions by Whole Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you multiply a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. The result is a new fraction.

Front

What is the formula to find the total amount when multiplying fractions?

Back

Total Amount = (Whole Number) x (Numerator of Fraction) / (Denominator of Fraction).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its simplest form, where the numerator and denominator have no common factors other than 1.

Front

What is the least common multiple (LCM) and how is it used in fractions?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. It is used to find a common denominator when adding or subtracting fractions.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify fractions.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator.

Front

What is a whole number?

Back

A whole number is a non-negative integer that does not include fractions or decimals. Examples include 0, 1, 2, 3, etc.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions involves multiplying the numerators and denominators, while division of fractions involves multiplying by the reciprocal of the divisor.