Fractions

/Tag: Fractions
20 11, 2016

Improper Fractions

By |2016-11-20T13:15:54+10:00November 20th, 2016|Tags: , , , |Comments Off on Improper Fractions

Improper Fractions when the numerator (top) is bigger than the denominator (bottom) worked examples Change $$1\frac{2}{3}$$ to an improper fraction. $$=\frac{5}{3}$$ we have 1 whole which means 3 thirds the easiest way to think about this is the denominator (3) times the whole number (1) and then add the [...]

20 11, 2016

Mixed Numerals

By |2016-11-20T12:21:46+10:00November 20th, 2016|Tags: , , , |Comments Off on Mixed Numerals

Mixed Numerals worked examples Change $$\frac{10}{7}$$ to a mixed numeral. $$=1\frac{3}{10}$$ we need to find out how many 7's go into 10, which is 1 and there will be 3 left over so the 1 is the whole number and the 3 that is the remainder goes into [...]

16 10, 2016

Recurring Decimals

By |2016-11-07T18:57:18+10:00October 16th, 2016|Tags: , , , |Comments Off on Recurring Decimals

Recurring Decimals Convert $$0.\dot1$$ to a fraction in simplest form.  let x = 0.11111111... start with a 'let statement' let any letter, we are going to use x, be the number in expanded form, remembering that the dot above the 1 means that the 1 is repeating and [...]

30 07, 2016

Multiplying Fractions

By |2016-11-20T11:28:02+10:00July 30th, 2016|Tags: , , , |Comments Off on Multiplying Fractions

Multiplying Fractions worked examples $$\frac{7}{11}\times\frac{11}{5}\times\frac{10}{14}$$ $$=\frac{7}{\cancel{11}}\times\frac{\cancel{11}}{5}\times\frac{10}{14}$$ cancel the 11's $$=\frac{7}{5}\times\frac{10}{14}$$ this leaves us with just the 7 and 10 in the numerators (top) and 5 and 14 in the denominators (bottom) $$=\frac{\cancel{7}1}{\cancel{5}1}\times\frac{\cancel{10}2}{\cancel{14}2}$$ look at the 7 and 14: divide both by 7 so the 7 will cancel to [...]

20 07, 2016

Adding & Subtracting Fractions

By |2016-10-21T13:17:00+10:00July 20th, 2016|Tags: , , , , |Comments Off on Adding & Subtracting Fractions

Adding & Subtracting Fractions worked examples  1/2  + 1/3 = $$=\frac12^{\times3}_{\times3}+\frac13^{\times2}_{\times2}$$ find the lowest common denominator for 3 and 2. Consider the times tables for both 3 and 2 and then find lowest number that is in both 2: 2, 4, 6, 8, 10, 12, 14, 16... 3: 3, 6, 9, [...]

25 08, 2015

Finding Percentage Increase/Decrease

By |2016-11-06T17:39:04+10:00August 25th, 2015|Tags: , , , , , , |Comments Off on Finding Percentage Increase/Decrease

Finding Percentage Increase/Decrease worked examples The price of tomatoes decreased from $2.50 to $1.80 per kg. Find the percentage decrease. $2.50 – $1.80 = $0.70 Step 1: Find the decrease in price $$\frac{0.70}{2.50}\times 100$$ = 28%  Step 3: Calculate further examples [...]

25 08, 2015

Comparing Percents, Decimals & Fractions

By |2016-11-06T17:44:07+10:00August 25th, 2015|Tags: , , , , |Comments Off on Comparing Percents, Decimals & Fractions

Comparing Percents, Decimals & Fractions worked examples Which of the following is the largest: 45%, 0.4, 2/5? 45% = $$\frac{45}{100}$$= 0.45 In order to compare, we are going to convert them to decimals to convert a % to a decimal, divide by 100 0.4 as 0.4 is already a decimal, [...]

25 08, 2015

Converting Fractions To Decimals

By |2016-10-21T13:17:07+10:00August 25th, 2015|Tags: , , , |Comments Off on Converting Fractions To Decimals

Converting Fractions To Decimals worked examples  Convert $$\frac79$$ into a decimal. $$\frac{7}{9} = 9\left){\vphantom{17}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{7}}$$ rewrite as a division since 9 will not fit into 7, we can rewrite the 7 as 7.0000… so that we can start the division $$9\left){\vphantom{1{7.0000}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{7.0000}}}$$ now we can do the division how [...]

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