Section -: Fraction Terminology Identify the following as proper fractions, improper fractions, or mixed numbers:, proper fraction;,, improper fractions;, mixed number. Write the following in decimal notation:,,. 0.0; 0.;.00. 0, 000 Section -: Multiples, Divisibility, and Factor Pairs Find the first five multiples of : x, x 6, x, x, x. The first five multiples of are, 6,,, and. Is divisible by? Yes, the last two digits form a number,, which is divisible by. That is,. Learning Outcome Find all the factors of : Write factor pairs. x, x, x 6, x ; is not a factor; 6 x ; is not a factor; x 6 is a repeat. Factors are,,,, 6,,, 6,, and. Section -: Prime and Composite Numbers Is prime or composite? Factor pairs of are x and x ; therefore is composite. Find the prime factorization of : x x x, so the prime factorization is x x or x. Section -: Least Common Multiple and Greatest Common Factor Find the LCM for,, and 0: x, x, 0 x x or x LCM x x or 60 Find the GCF of,, and : x,, x GCF Section -: Equivalent Fractions and Decimals,,,.
Write three fractions equivalent to 6. 6 6 0 6 Multiplying by n n the original value is unchanged. is the same as multiplying by. So, Reduce: Learning Outcome Write. as a fraction Dividing by is the same as dividing by. So, the original value is unchanged.. 0 Learning Outcome Convert to a decimal. Divide the numerator by the denominator...0 That is, 0.. Section -6: Improper Fractions and Mixed Numbers Convert the following to whole or mixed numbers: Convert 6 to an improper fraction: ( 6) + 6,. ;
Section -: Finding Common Denominators and Comparing Fractions Find the lowest common denominator (LCD) for and x x or LCD x x The smallest number that can be divided evenly by both and is. Which fraction is larger, 6 6 6 6 6 Since is larger than, is larger than. 6 6 6 or? 6 Section -: Adding Fractions and Mixed Numbers Add: + + Add: + 6 + 6 Add: + + 6 6 Add the numerators. Keep the comon demoninator. Change to equivalent fractions that have common denominators. 6, so + Add fractional parts and whole-number parts. Combine the results.
Section -: Subtracting Fractions and Mixed Numbers Subtract: - 0 0 0 Change to equivalent fractions that have common denominators. Subtract numerators. Subtract: - 6 Borrow from and add it as to. Section -: Multiplying Fractions and Mixed Numbers Multiply: / / / / Reduce numerators and denominators before multiplying. Multiply numerators and multiply denominators. Multiply: Write whole or mixed numbers as improper fractions. / / Reduce numerator and denominator before multiplying.
Learning Outcome Simplify: 6 Write as repeated factors. Multiply. Section -: Dividing Fractions and Mixed Numbers Find the reciprocal of,,.. The reciprocal of or is ; the reciprocal of is ; Write whole or mixed numbers as improper fractions. the reciprocal of or is. Interchange the numerator and denominator. Divide: 6 Multiply by the reciprocal of, that is, by.. Learning Outcome Divide: / / Change mixed numbers to improper fractions as a first step. Multiply the dividend (first number) by the reciprocal of the divisor (second number). Learning Outcome Simplify the following complex fraction. / Change mixed numbers to improper fractions and write complex fraction as division. Change division to equivalent multiplication and multiply.
Section -: Signed Fractions and Decimals Write three equivalent signed fractions for - - - +, which can be written as + or - or - -. + - + - Change any two of the three signs of the fraction. Add: + -. + - - - Learning Outcome Add:. +.6. +.6 0.6 Add:. + (.)... Use rules for adding fractions and for adding signed numbers. Use rules for adding decimals and for adding signed numbers. Learning Outcome Simplify: +. + + + + + Multiply and divide. Add. +