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Introduction to Fractions let’s review the basics…. A Fraction is a part of a whole. Fractions are Written like this:. 3. = the number of parts. 4. = the total number of parts that equal a whole. Terms of a Fraction. 3. = numerator. 4. = denominator. Which number is circled?. 3. 4.
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Fractions are Written like this: 3 = the number of parts 4 = the total number of parts that equal a whole
Terms of a Fraction 3 = numerator 4 = denominator
Which number is circled? 3 4 = denominator
Which number is circled? 3 =numerator 4
Equivalent FractionsFractions that look different, but represent the same amount.
Equivalent Fractions All of these fractions represent the same amount. We usually answer using the simplest fraction, this is called simplifying or reducing the fraction.
Simplifying Fractions Try dividing both the top and bottom of the fraction until you can’t go any further (try dividing by 2, 3, 4, 7…)
Simplifying Fractions Try dividing both the top and bottom of the fraction until you can’t go any further (try dividing by 2, 3, 4, 7…)
Practice Questions • Simplify the above fractions.
Simplify the above fractions. EXIT CARD Questions
Mixed Fractions A whole number and a fraction combined.
Improper Fraction When the numerator is larger than or equal to the denominator
Adding Fractions You can add fractions easily if the denominator is the same. Remember to always simplify your answer
Adding Fractions What happens when the denominators aren’t the same?
Adding Fractions Remember, what you do to the bottom you must do to the top!
Adding Fractions Step 1: Common Denominator Step 2: Add the Numerators Step 3: Simplify the Answer
Is this statement correct? Explain why you think it is or is not. • Explain how to expand the fraction ½ into a fraction with 12 as a denominator. EXIT CARD Questions
Subtracting Fractions What happens when the denominators aren’t the same?
Subtracting Fractions You can subtract fractions easily once the denominator is the same. Remember to always simplify your answer 1/3
Subtracting Fractions Step 1: Common Denominator Step 2: Subtract Numerators Step 3: Simplify the Answer
Adding/Subtracting Mixed Fractions Step 1: Improper Fraction Step 2: Common Denominator Step 3: Add/Subtract Numerator Step 4: Answer with Simplified Mixed Fraction
EXIT CARD Questions • Solve: • 1. 3 1/7 – 2 1/3 • 2. 11/4 + 32/14