Do Now: Draw a picture representing each fraction: ½ 2/4 5/10 What do you notice?

HW REVIEW pg. 563 #1-11,odds

Math 7 GWJHS “Raise the Praise” Equivalent Fractions GCF and LCD

Objective: TLWBAT to convert fractions to equivalent forms by multiplying or dividing the numerator and denominator by the LCM or GCF and correctly completing at least 8 out of 10 practice problems. CPIs: NJCCCS A.5 Common Core 7.NS.2, 7.NS.A.2a

Equivalent Fractions Equivalent fractions are different expressions of the same amount. =

GCF and LCM Greatest Common Factor (GCF): The largest common factor of two or more given numbers EX) 24 and 36 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 Least Common Multiple (LCM): The least number, other than zero, that is a multiple of two or more given numbers EX) 3, 5 Multiples of 3: 3, 6, 9, 12, 15, 18 Multiples of 5: 5, 10, 15, 20, 25

Your Turn Find the GCF of the following numbers. 30 and and 45 6, 15, and 48

Your Turn Find the LCM of the following numbers. 4 and 7 3 and 15 8, 10, and 12

Writing Fractions in Simplest Form To simplify a fraction, divide the numerator and denominator by the greatest common factor. The greatest common factor of 18 and 27 is 9 so divide the numerator and denominator both by 9. ==

Finding Equivalent Fractions To create fractions equivalent to a given fraction, multiply or divide the numerator and denominator by the same number. == ==

Determining Whether Fractions are Equivalent Find a common denominator and compare the numerators. and

Improper Fractions and Mixed Numbers Improper Fraction – the numerator is greater than the denominator Mixed Number – a whole number and a fraction together

Converting an Improper Fraction to a Mixed Number Divide the numerator by the denominator. Write the remainder as a fraction over the denominator of the original improper fraction =

Converting a Mixed Number to an Improper Fraction Multiply the denominator and whole number, then add the numerator. Write the result over the original denominator. 23  + 7 = 3 · = 23 3

White Board Practice Write a fraction equivalent to 5/7

White Board Practice Write a fraction equivalent to 4/9

White Board Practice Write a fraction equivalent to 6/12

White Board Practice Write a fraction equivalent to 9/16

White Board Practice Write a fraction equivalent to 8/20

White Board Practice Write the LCM of 8 and 12

White Board Practice Write 6/10 in simplest form.

White Board Practice Write 12/16 in simplest form.

White Board Practice Write 9/15 in simplest form.

White Board Practice Write 20/35 in simplest form.

White Board Practice Write 40/100 in simplest form.

White Board Practice Find the GCF of 27, 36, and 45

White Board Practice Is 4/8 equivalent to 5/10? Yes or No

White Board Practice Is 3/9 equivalent to 4/12? Yes or No

White Board Practice Is 6/8 equivalent to 10/15? Yes or No

White Board Practice Is 15/25 equivalent to 21/35? Yes or No

White Board Practice Is 8/20 equivalent to 4/16? Yes or No

White Board Practice Convert 23/4 to a mixed number

White Board Practice Convert 19/3 to a mixed number

White Board Practice Convert 26/8 to a mixed number

White Board Practice Convert 32/5 to a mixed number

White Board Practice Convert 76/3 to a mixed number

White Board Practice Convert 4½ to an improper fraction.

White Board Practice Convert 9¾ to an improper fraction.

White Board Practice Convert 6¾ to an improper fraction.

White Board Practice Convert 8¼ to an improper fraction.

White Board Practice Convert 28½ to an improper fraction.

Place Value Review 3, Thousands Hundreds Tens Ones Tenths Hundredths Thousandths

Name that Place Value , ,

Exit Ticket Jack mows the lawn every 3 weeks and washes the car every 2 weeks. If he does both today, how many days will pass before he does them both on the same day again? Hint: LCM