Scaling with fractions

Front

What is the result of multiplying a fraction by a whole number?

Back

The result will be less than the whole number if the fraction is less than 1.

Front

How do you determine if the product of a fraction and a whole number is greater than, less than, or equal to the whole number?

Back

If the fraction is less than 1, the product will be less than the whole number. If the fraction is equal to 1, the product will be equal to the whole number.

Front

What does it mean to scale a quantity using a fraction?

Back

Scaling a quantity using a fraction means to multiply that quantity by the fraction, which can increase or decrease the original amount depending on the value of the fraction.

Front

If a recipe calls for 2 ½ cups of an ingredient and you use 1 ½ cups, how does this compare to the original amount?

Back

Using 1 ½ cups is less than 2 ½ cups, meaning you are using less than the original amount.

Front

What is the significance of the numerator and denominator in a fraction when scaling?

Back

The numerator indicates how many parts you have, while the denominator indicates how many equal parts the whole is divided into. This affects the size of the scaled quantity.

Front

What happens when you multiply two fractions together?

Back

The product will be smaller than both fractions unless one of the fractions is equal to 1.

Front

How can you express a fraction as a decimal?

Back

You can express a fraction as a decimal by dividing the numerator by the denominator.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by multiplying the fraction by 100.

Front

How do you compare two fractions to determine which is larger?

Back

You can compare two fractions by finding a common denominator or converting them to decimals.

Front

What is a mixed number and how is it related to improper fractions?

Back

A mixed number consists of a whole number and a proper fraction. It can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator.