# Today we will review “Fractions”

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Today we will review “Fractions”
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Let’s Warm up:. 1) 0.32 + 4 -3.23 =1.09 2) 3.6 ÷ 2 x 5 =9
4) ÷ 9 =10 CONFIDENTIAL

Representing Fractions
Fraction: A number that names part of a whole or part of a group. ¼ means 1 part of 4 parts, where 4 parts is the whole or group. Denominator: The number below the bar in a fraction. Fraction: 4 5  denominator Numerator: The number above the bar in a fraction. Fraction: 4  numerator 5 CONFIDENTIAL

Representing Fractions
4 parts shaded 7 parts in all 4/7 shaded Parts shaded -> 4 -> numerator parts in all > 7 -> denominator 2 parts shaded 5 parts in all 2/5 shaded Parts shaded -> 2 -> numerator parts in all > 5 -> denominator CONFIDENTIAL

Your Turn! Complete to write a fraction for the part that is shaded.
3/4 4/5 CONFIDENTIAL

Equivalent Fractions & Simplest Form
Equivalent Fractions: Two or more fractions that name the same number. 3 = 6  Equivalent Fractions 4 8 Use Fraction Models Equivalent Fractions for Fraction piece used Number of pieces Equivalent Fraction 4 3 2 CONFIDENTIAL

Equivalent Fractions & Simplest Form
To find equivalent fractions multiply the numerator and denominator by 1 CONFIDENTIAL

Equivalent Fractions & Simplest Form
Find simplest form (of 4/12) Step 1: Find the common factors Factors of 4: 1, 2, 4 Factors of 12: 1, 2, 3, 4, 6, 12 Common factors: 2 and 4 Step 2: Divide the numerator and the denominator by the greatest common factor The simplest form of 4/12 is 1/3 Divide by 4/4 to simplify. 4/4 =1, so the value of the fraction doesn’t change. CONFIDENTIAL

Your Turn! Write each fraction in the simplest form. 7/21 = 1/3
2/10 = 1/5 CONFIDENTIAL

Comparing Fractions Use Models CONFIDENTIAL

Comparing Fractions Use a Number Line CONFIDENTIAL

Comparing Fractions Use Paper and Pencil
You can write equivalent fractions with the same denominator Since 4 multiplied by 2 is 8, you can multiply by 1 in the form of 2/2 CONFIDENTIAL

Ordering Fractions Step 1: Write each fraction as an equivalent fraction with the same denominator Step 2: Compare the numerators. Put the fractions in order from least to greatest. Example: Order ½, ¼, and 3/8 from least to greatest Step1: Write equivalent fractions with the same denominator. Change them all to eights. Compare the numerators. 4 is the greatest and 2 is the least Order from least to greatest is ¼, 3/8, 1/2 CONFIDENTIAL

Your Turn! Write >, <, or =. ¼ __ ¾ <
Order from least to greatest. ¼, 1/8, ½. ¼ = 2/8, 1/8, ½ = 4/8 1/8, ¼, ½ CONFIDENTIAL

Mixed Numbers Mixed Number: A number named by a whole number and a fraction. A mixed number is greater than 1 CONFIDENTIAL

A whole number is a number without a fraction.
Improper Fractions Improper Fraction: A fraction with a numerator that is greater than or equal to the denominator. Rename a mixed number Example: Write 1 ¼ as an improper fraction Step 1: Rename the whole number as a fraction. 1 = 4/4 Step 2: Add the fractions. 4/4 + ¼ = 5/4 A whole number is a number without a fraction. CONFIDENTIAL

Improper Fractions Rename a Fraction
Example: Write 7/4 as an improper fraction Step 1: Rename the whole number as a fraction. 4/4 = 1 whole 7/4 - 4/4 = ¾ 1 ¾ CONFIDENTIAL

Your Turn! Rename each as a mixed number, improper fraction, or fraction in simplest form. 8/7 = 1 1/7 1 1/3 = 4/3 CONFIDENTIAL

Fractions, decimals, percents
Percent means per hundred; It is another way of naming part of a whole. The grid shows that 25 out of 100 squares are blue. 25% of the grid is blue As a fraction, 25 out of 100 = 25/100 = ¼ As a decimal; 25 out of 100 = 25 hundredths = 0.25 25% = 25/100 = 0.25 CONFIDENTIAL

Step 1: Add the numerators Step 2: Use the common denominator Step 3: Write the sum in simplest form Example: Find: 1/8 + 1/8 + 1/8 1/8 + 1/8 + 1/8 = 3/8 The Greatest Common Factor of 3 and 8 is 1, so 3/8 is already in simplest form CONFIDENTIAL

1/10 + 1/10 = 2/10 = 1/5 CONFIDENTIAL

Subtract with like denominators
Step 1: Subtract the numerators Step 2: Use the common denominator Step 3: Write the difference in simplest form Example: Find ¾ - ¼ ¾ - ¼ = 2/4 ¾ - ¼ = 2/4 2 ÷ 2 = ½ 4 ÷ 4 Divide the numerator and the denominator by the Greatest Common Factor CONFIDENTIAL

Your Turn! Subtract. Write the difference in simplest form.
7/10 – 5/10 = 2/10 = 1/5 CONFIDENTIAL

Step 1: Find equivalent fractions with a common denominator Step 2: Add the numerators. Write the sum above the common denominator Step 3: Write the sum in the simplest form CONFIDENTIAL

7/8 + ¼ = 7/8 + 2/8 = 9/8 = 1 1/8 CONFIDENTIAL

Subtract with unlike denominators
Step 1: Find equivalent fractions with a common denominator Step 2: Subtract the numerators. Write the sum above the common denominator Step 3: Write the sum in the simplest form CONFIDENTIAL

Your Turn! Subtract. Write the difference in simplest form.
7/8 – 3/8 = 4/8 = 1/2 CONFIDENTIAL

Multiplication of proper fraction & whole number
Step 1: Multiply the numerator with the whole number Step 2: Simplify the fraction Find ½ x 4 1 x 4 = 4 4/4 1 CONFIDENTIAL

Your Turn! Multiply 1/3 x 7 = 7/3 = 2 1/3 CONFIDENTIAL

Let us take a break! CONFIDENTIAL

Let us see how fast you are on this one!
Game Let us see how fast you are on this one! Click me CONFIDENTIAL

Assessment Write a fraction for the part that is shaded.
1/4 Write the fraction 9/54 in the simplest form. 1/6 Order from least to greatest 1/8, 2/4, 5/8 1/8, 2/4, 5/8 Rename as a improper fraction, or fraction in simplest form. 2 2/3 = 8/3 Write equivalent decimal and percent for the fraction 30/100 0.30; 30% CONFIDENTIAL

Assessment Add 1/7 + 3/7 = 4/7 Subtract 5/6 – 4/6 = 1/6
Multiply 3/5 x 4= 12/5 = 2 2/5 CONFIDENTIAL

Good Job! You have learned a lot today!!! CONFIDENTIAL