Math for Life and Food Service

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Math for Life and Food Service

• Chapter 1 Objectives
• Fraction Review
• Factors
• Simplifying
• Multiplying Dividing

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Proper Fraction - numerator is less denominator.

• Numerator
• Denominator
• 5
• 6
• Proper fractions are less than 1.

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Improper Fraction - numerator is greater than or
equal to denominator.

• Numerator
• Denominator
• 6
• 5
• Improper fractions are greater than or equal to 1.

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Mixed Number - whole number and fraction.

• Numerator
• Denominator
• Mixed numbers are greater than 1.

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Converting Improper Fractions Mixed Numbers

• Mixed to Improper
• 1) Multiply whole number denominator
• 2) Add product numerator
• 3) Write sum over original denominator

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Converting Improper Fractions Mixed Numbers

• Improper to Mixed
• 1) Divide numerator by denominator
• 2) Write down the whole number.
• 3) Place remainder over original denominator.

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Solve

• 1) Of the 131 students at a small private school,
  42 are freshman. What fraction of the students
  are freshman?
• 2) From question 1, what fraction of the students
  are not freshman?

• 1) 42/131
• 2) 89/131
• 3) 41/15
• 4) 4 5/8
• 5) 33

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Factors - used to reduce/simplify

• Factor - a number that is multiplied to get a
  product.
• Factoring a number means taking the number apart
  to
• find its factors--it's like multiplying in
  reverse.

Here are lists of all the factors of 16, 20, and
45.

• 16 ? 1, 2, 4, 8, 16
• 20 ? 1, 2, 4, 5, 10, 20
• 45 ? 1, 3, 5, 9, 15, 45

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Divisibility Tests

• 2 - if the last digit is 0, 2, 4, 6, or 8.
• ex 82 is divisible by 2 since the last digit
  is a 2.
• 3 - if the sum of the digits is divisible by 3.
• ex 225 is divisible by 3 since 2 2 5 9.
• 4 - if the last two digits are divisible by 4.
• 1712 is divisible by 4 since 12, is divisible
  by 4.
• 5 - if the last digit is 0 or 5.
• 315 is divisible by 5 since the last digit is a
  5.
• 6 - if its divisible by 2 and 3.
• 342 is divisible by 6 since it is also
  divisible by 2 and 3.
• 9 - if the sum of its digits is divisible by 9.
• 738 is divisible by 9 since 7 3 8 18

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Simplest Form of a Fraction

• When numerator AND denominator have no common
  factors other than 1 and are not left improper
• Simplest Form
• Lowest Term
• Reduced
• Simplify 24
• 40

Common Factor is 8, which reduces the fraction
to 3/5
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Simplify (do not leave improper)
5) A work shift for an employee consists of 8
hours. What fraction of the employees work shift
is represented by 2 hours?
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Multiplying Fractions

• STEPS1) SIMPLIFY FIRST!!!
• 2) Numerator x Numerator
• 3) Denominator x Denominator

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Multiplying Fractions

• STEPS1) SIMPLIFY FIRST!!!
• 2) Numerator x Numerator
• 3) Denominator x Denominator

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Multiplying Mixed or Whole Numbers

• STEPS1) Convert to an improper fraction
• 2) Simplify
• 3) Multiply

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Multiply - write each answer in simplest form
3) The Shaw family has a take-home pay of 1400 a
month. They spend 2/7 of their monthly income on
their house payment. How much is their house
payment?
4) A recipe calls for 1/3 of a cup of flour. How
much flour should be used if only 1/2 of the
recipe is being made?
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Dividing Fractions

• STEPS1) STAY, CHANGE, FLIP
• 2) Simplify
• 3) Multiply

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Dividing Mixed or Whole Numbers

• STEPS1) Convert to Improper Fraction
• 2) Stay, Change, Flip
• 3) Simplify Multiply

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Divide - write each answer in simplest form
3) Sue is to take 3 1/3 tablespoons of medicine
per day in 4 equally divided doses. How much
medicine is to be taken in each dose?
4) Kesha is planning a Memorial Day barbeque. She
has 27 3/4 pounds of hamburger. How many
quarter-pound hamburgers can she make?
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Exponents Order of Operations
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Exponents Order of Operations
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Exponents Order of Operations
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Exponents Order of Operations
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Exponents Order of Operations
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Exponents Order of Operations

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Exponents Order of Operations