To find the fraction from any decimal value, multiply both top and bottom by 10, and continue until no decimal point remains. For example, in the question above,
1.78 =
1.78 x 10 17.8 x 10 178
------------ = -------------- = ------- .
1 x 10 10 x 10 100
So 178/100 is the required answer. Now simplify the fraction.
178 89 x 2 89
----- = ---------- = -----.
100 50 x 2 50
So the answer is 89/50
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1.76 = 1 + 76/100
76/100 = 19/25 (in its lowest terms)
1.76 could be represented as
1 and 19/25
or
44/25
There are different ways to express 1.76 as a fraction, depending on whether you reduce it or not:
176/100
88/50
44/25