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Example of Decimal to Fraction Conversion:
Example:
Convert 18.82 to a mixed number.
Solution:
Step 1: 18.82 is 18 and 82 hundredths.
18.82 = 18(82/100)
Step 2: Reduce 82/100 to its simplest form =41/50
82/100= 2.41/2.50 = 2.41/2.2.25 = 2.41/ 2.2.5.5 = 41/2.5.5 = 41/50
The answer is 18(41/50)
Convert 1.73 to a fraction.
Step 1: 1.73 = 1(73/100)
Step 2: 73 = 73 x 1
100 = 2 x 2 x 5 x 5
There are no common factors between 73 and 100, so it cannot be reduced.
1(73/100)
Convert 0.333 to a fraction.
Step 1: 0.333 = 333/1000
Step 2: There are no ordinary factors between 333 and 1000, so it is already in its simplest form.
Express the GCD of 48 and 18 as a linear combination. (Ans: Not unique) A=bq+r, where o ≤ r 48=18x2+12 18=12x1+6 12=6x2+0 ∴ HCF (18,48) = 6 now 6
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