RELATING DECIMALS AND FRACTIONS
Divide 1 whole into 10 equal parts (tenth)
Example
Decimal point: to separate
the whole number part from
the fractional part of a
number.
Example:
1. Express the fraction as a decimal:
a. 2/10
2/10 = 1/10 + 1/10 = 0.1 + 0.1 = 0.2
b. 2 3/10
2 3/10 = 2 + 0.1 + 0.1 = 0.1 = 2.3
CONVERTING NUMBERS BETWEEN FRACTION TO DECIMAL
Converting Decimals to Fractions
Example
Convert 0.33 to Fraction
Method
→→
Step1: Divide 0.33 by 1
0.33 / 1
Step2: Shift the
decimal place for both numerator and denominator
0. 3 3 = 33
1 0
0 100
Step3: Simplify the answer
0.33 = 33/100
Example
Convert 0.56 to Fraction
Method
Step1: Divide 0.56 by 1
0.56 / 1
Step2: Shift the
decimal place for both numerator and denominator
→→
0. 5 6 = 56
1 0
0 100
Step3: Simplify the answer
56/100 = 28/50 = 14/25
Converting Fractions to Decimals
Example
Convert 1/5 to Decimal
Method
Step1: Find a number to
multiply with 5(denominator to multiple of 10)
5 x 2 = 10
Step2: Multiply both numerator and denominator by 2
1
x 2 = 2
5 x 2 10
Step3: Write the
numerator and shift Decimal based on zero of 10 multiples
2.0 (shift decimal by 1, because 10 – 1 zero)
->
0.2
Convert 2/25 to Decimal
Method
Step1: Find a number to
multiply with 5(denominator to multiple of 10)
25 x 4 = 100
Step2: Multiply both numerator and denominator by 2
2
x 4 = 8
25 x 4 100
Step3: Write the
numerator and shift Decimal based on zero of 10 multiples
8.0 (shift decimal by 1, because 100 – 2 zeros)
->
0.08
2/25 = 0.08
Tip
Usually, the
denominators given for converting fractions to decimals are:
2, 4, 5 and 8
Thus, Memorise the
following:
2 x 5 = 10 , 4 x 25 = 100,
5 x 2 = 10 , 8 x 125 = 1000
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