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express 0.12 as a fraction in its lowest terms

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Expressing numbers atomic number 3 fractions and percentages

Unstylish of a form mathematical group of 20 people, five people have chosen to take Art at GCSE. What fraction of the sort out will be taking Artistic production GCSE?

There are fivesome people out of 20 in total. We can write this as \(\frac {5} {20}\) .

This fraction tail be easy by dividing the numerator and denominator by the identical value:

\[\frac {5 \div 5} {20 \div 5}~=~\frac {1} {4}\]

Question
A calendar showing the month of June and eight rainy days

In June IT rains for eight years. What fraction of the month did it rainfall?

There are 30 years in June, of which information technology rained on eight.

This is written as \(\frac {8} {30}\)

This can then be simplified to:

\[\frac {8 \div 2} {30 \div 2}~=~\frac {4} {15}\]

Information technology is important to see to it that both quantities are in the same units.

E.g., we can't compare a clip in transactions with a number of hours. We must first convert the time in hours to minutes.

We normally change to the smaller unit to avoid having to work with decimals.

Dubiousness

Johnny is 20 minutes late for a film that is ii hours long. What fraction of the film does he miss?

\[\frac {1} {6}\]

2 hours = 2 × 60 = 120 minutes.

\[\frac {20} {120}~=~\frac {2} {12}~=~\frac {1} {6}\]

Expressing one prise as a percentage of another

Once you have expressed the measure as a fraction of another number, this can beryllium converted to a percentage.

Method 1

In a cluster of 32 grapes, 4 are mouldy. What percentage of the grapes is mouldy?

A bunch of grapes
  1. Express as a fraction: \(\frac {4} {32}~=~\frac {2} {16}~=~\frac {1} {8}\)
  2. Divide the numerator past the denominator: 1 ÷ 8 = 0.125
  3. Multiply by 100 to convert to %: 0.125 × 100% = 12.5%

Method acting 2

Out of my £25 scoop money, I spend £7. What percentage is this?

  1. Express as a fraction: \(\frac {7} {25}\)
  2. Use equivalent fractions to receive a denominator of 100: \(\frac {7 \times 4} {25 \multiplication 4}~=~\frac {28} {100}\)
  3. Write as a percentage: 28%

Determination a percentage increase

A fish tank containing 15 goldfish

A fish storage tank is home to 15 fish, after a class the fish sustain bred and thither are immediately 20 fish. By what percentage has the numerate of fish increased?

  1. Count on the change: 20 – 15 = 5
  2. Fast the variety as a percentage of the creative value: \(\frac {5} {15}~=~\frac {1} {3}~=~{0.333}~=~{33.3\percent}~{increase}\)

Finding a percentage decrease

On Mon thither were 45 chocolates in a boxwood. By Fri there were sole 12. Bring up out the portion change.

  1. Calculate the change: 45 – 12 = 33
  2. Express the change as a percentage of the creative value: \(\frac {33} {45}~=~{0.7333333333}~=~{73.3\percentage}~{decrease}(to~one~decimal~place)\)

express 0.12 as a fraction in its lowest terms

Source: https://www.bbc.co.uk/bitesize/guides/zp2c82p/revision/3

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