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Home/Tag: Fractions
20 11, 2016

## Improper Fractions

By |2016-11-20T13:15:54+10:00November 20th, 2016||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||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||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||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 [...]

25 07, 2016

## Decreasing Percents

By |2016-11-06T17:27:27+10:00July 25th, 2016||Comments Off on Decreasing Percents

Decreasing Percents worked examples Decrease 765kg by 2%. 765 × 2% = 15.3 find 2% of 765 by multiplying 765 by 2% = 765 - 15.3 = 749.7 decrease 765 by the 2% you just found by subtracting OR  765 × 98% =749.7  since we are decreasing by 2%, we [...]

20 07, 2016

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

## Increasing Percents

By |2016-11-06T17:38:22+10:00August 25th, 2015||Comments Off on Increasing Percents

Increasing Percents worked examples Increase 90g by 7%. 90g × 7% = 6.3g find 7% of 90 by multiplying 90 + 6.3 = 96.3g since we are increasing, add the 6.3g to the original value of 90g OR 90g × 107% = 96.3g we start with 100% and increase by [...]

25 08, 2015

## Finding Percentage Increase/Decrease

By |2016-11-06T17:39:04+10:00August 25th, 2015||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||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||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 [...]