Comparing Improper Fractions and Mixed Numbers

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 7/4 is an improper fraction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 is a mixed number.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

How do 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 is the whole number, and the remainder is the new numerator over the original denominator. For example, 7/3 = 2 1/3.

Front

What does it mean to compare fractions?

Back

Comparing fractions means determining which fraction is larger, smaller, or if they are equal. This can be done by finding a common denominator or converting them to decimals.

Front

How do you arrange improper fractions from least to greatest?

Back

To arrange improper fractions from least to greatest, convert them to mixed numbers or find a common denominator to compare their values.

Front

What is the value of 14/4 as a mixed number?

Back

14/4 as a mixed number is 3 2/4, which can be simplified to 3 1/2.

Front

What is the first step in converting 11 7/8 to an improper fraction?

Back

Multiply the whole number (11) by the denominator (8): 11 * 8 = 88.

Front

What is the final step in converting 11 7/8 to an improper fraction?

Back

Add the numerator (7) to the result from the first step (88): 88 + 7 = 95. So, 11 7/8 = 95/8.

Front

What is the improper fraction for 9 1/4?

Back

The improper fraction for 9 1/4 is 37/4.