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GCSE Mathematics
1. Number
1.2 Fractions, Decimals, and Percentages
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Fractions consist of a numerator and a
denominator
Decimals use a
decimal point
to separate the whole number part from the fractional part.
Percentages express a fraction or decimal as a proportion out of
100
The fraction 3/4 means three parts out of
four
.
Match the fraction with its decimal equivalent:
1/2 ↔️ 0.5
1/4 ↔️ 0.25
3/5 ↔️ 0.6
Steps to convert a decimal to a fraction:
1️⃣ Write the decimal as a fraction with a denominator that is a power of 10
2️⃣ Simplify the fraction if possible
To convert a fraction to a percentage, multiply the fraction by
100%
To convert a percentage to a fraction, divide the percentage value by
100
.
To convert a fraction to a decimal, divide the numerator by the
denominator
How do you convert a fraction to a decimal?
Divide numerator by denominator
To convert 3/4 to a decimal, you divide 3 by
4
1/4 converted to a decimal is
0.25
.
What is 3/5 as a decimal?
0.6
Match the fraction with its decimal equivalent:
1/2 ↔️ 0.5
1/4 ↔️ 0.25
3/5 ↔️ 0.6
Steps to convert a decimal to a fraction
1️⃣ Write the decimal as a fraction with a denominator that is a power of 10
2️⃣ Simplify the fraction if possible
What is 0.25 as a simplified fraction?
1/4
0.5 is equivalent to the simplified fraction
1/2
0.75 is equal to
3/4
as a simplified fraction.
What power of 10 should you use as the denominator for 0.25?
100
When converting a decimal to a fraction, you should always simplify the fraction to its simplest
form
To convert a fraction to a percentage, you divide the numerator by the denominator and multiply by
100%
.
What is 3/4 as a percentage?
75%
When converting a fraction to a percentage, you must multiply the result by
100
To convert a fraction to a percentage, you divide the numerator by the
denominator
and multiply by 100%.
Match the fraction with its equivalent percentage:
1/2 ↔️ 50%
1/4 ↔️ 25%
3/5 ↔️ 60%
How do you convert a percentage to a fraction?
Divide by 100 and simplify
25% is equivalent to the simplified fraction
1/4
50% converted to a simplified fraction is
1/2
.
What is 75% as a simplified fraction?
3/4
To convert a decimal to a percentage, you multiply by
100%
.
What is 0.75 as a percentage?
75%
When converting a decimal to a percentage, you must multiply by
100
Match the decimal with its equivalent percentage:
0.75 ↔️ 75%
0.5 ↔️ 50%
0.25 ↔️ 25%
To convert a percentage to a decimal, you divide by
100
.
What is 25% as a decimal?
0.25
When converting a percentage to a decimal, you must divide by
100
Match the percentage with its equivalent decimal:
25% ↔️ 0.25
50% ↔️ 0.50
75% ↔️ 0.75
100% ↔️ 1.00
What is a fraction made of?
Numerator and denominator
A decimal uses a
decimal point
to separate the whole number part from the fractional part.
A percentage expresses a fraction or decimal as a proportion out of
100
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