Dividing Fractions and Mixed Numbers
Dividing fractions sounds tough, right? Have no fear, because if you can multiply fractions, then you can divide them! Dividing fractions actually requires no division. All you need to do is multiply the first fraction by the reciprocal of the second fraction.
What is a reciprocal, you ask? A reciprocal, or multiplicative inverse, is what you get if you flip or invert the second fraction. For example, the reciprocal of 2/3 is 3/2 and the reciprocal of 4/9 is 9/4. Be careful though, because if you have a mixed number, you must first make it into an improper fraction BEFORE you can flip it.
What is a reciprocal, you ask? A reciprocal, or multiplicative inverse, is what you get if you flip or invert the second fraction. For example, the reciprocal of 2/3 is 3/2 and the reciprocal of 4/9 is 9/4. Be careful though, because if you have a mixed number, you must first make it into an improper fraction BEFORE you can flip it.