Simplifying Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number).

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 6/8?

Back

6/8 can be simplified to 3/4 by dividing both the numerator and denominator by their greatest common divisor, which is 2.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

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.

Front

What is the fraction of windows in good condition if 4 out of 10 are broken?

Back

The fraction of windows in good condition is 6/10, which simplifies to 3/5.

Front

If there are 28 birds and 7 flew away, what fraction flew away?

Back

The fraction of birds that flew away is 7/28, which simplifies to 1/4.

Front

What is the equivalent of 24/16 in simplest form?

Back

24/16 simplifies to 1 1/2.

Front

How do you simplify the fraction 6/15?

Back

6/15 simplifies to 2/5 by dividing both the numerator and denominator by their GCD, which is 3.