The Language of Fractions Numerator The numerator is

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The Language of Fractions

The Language of Fractions

Numerator The numerator is the number, or expression, on the TOP of the fraction.

Numerator The numerator is the number, or expression, on the TOP of the fraction. Numerator

Denominator The denominator is located down on the bottom of the fraction. Denominator Remember:

Denominator The denominator is located down on the bottom of the fraction. Denominator Remember: zero can never be there!

Parts of a whole The top of the fraction are the parts that we’re

Parts of a whole The top of the fraction are the parts that we’re interested in. The bottom of the fraction is the total. “I got 19 of the 20 problems right. ”

Proper Fractions Proper fractions – top is smaller than the bottom. Sort of like

Proper Fractions Proper fractions – top is smaller than the bottom. Sort of like a snowman!

Proper Fractions All proper fractions are less than 1. (a piece of the pie)

Proper Fractions All proper fractions are less than 1. (a piece of the pie)

Improper Fractions Improper fractions – top is bigger than the bottom. Sort of like

Improper Fractions Improper fractions – top is bigger than the bottom. Sort of like a bodybuilder.

Improper Fractions Improper fractions are all bigger than 1. They can be written as

Improper Fractions Improper fractions are all bigger than 1. They can be written as mixed numbers. Remember: the fraction bar is a division sign!

Mixed Numbers A mixed number is the sum of a whole number and a

Mixed Numbers A mixed number is the sum of a whole number and a fraction.

Mixed Numbers Any mixed number can be written as an improper fraction.

Mixed Numbers Any mixed number can be written as an improper fraction.

Simplified fractions A fraction is in lowest terms when the numerator and denominator have

Simplified fractions A fraction is in lowest terms when the numerator and denominator have no common factors.

Simplified fractions It’s easiest to see what you’re doing if you break each number

Simplified fractions It’s easiest to see what you’re doing if you break each number into prime factors. You may cancel any matching numbers on the top and bottom.

Equal fractions have equal cross-products. 10 = 10 Product means multiply ~ cross-product means

Equal fractions have equal cross-products. 10 = 10 Product means multiply ~ cross-product means multiply across. This is a good way to check if you reduced correctly.

Remember your terms Numerator Denominator Proper fraction Improper fraction Mixed number Simplified fractions

Remember your terms Numerator Denominator Proper fraction Improper fraction Mixed number Simplified fractions