Write a decimal as a fraction or mixed number a) 1.5 b) 2.65 c) 3.15
Solution:
A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist of a numerator and a denominator.
A decimal number can be defined as a number whose whole number part and the fractional part are separated by a decimal point.
To express 1.5 as a fraction, we need to write the given decimal number in the x/y form, where x and y are the positive integers.
Hence, we divide the number by 1 i.e, 1.5 / 1
Now, we have to multiply and divide 1.5 / 1 by 10.
Hence, 1.5/1 × 10/10 = 15/10
The fraction 15/10 can be further be simplified to 3/2.
So, 1.5 as a fraction is equal to 3/2.
Since the obtained fraction 3/2 is an improper fraction, hence it can also be expressed in mixed form as 1 1/2
Similarly, we can write 2.65 as 265/100
265/100 = 53/20 = 2 13/20
3.15 can be written as 315/100
315/100 = 63/20 = 3 3/20
We also can use Cuemath's decimal to fraction calculator to verify our answer.
Hence, a) 1.5 as a mixed number can be written as 1 1/2 b) 2.65 as a mixed number can be written as 2 13/20 c) 3.15 can be written as 3 3/20
Write a decimal as a fraction or mixed number a) 1.5 b) 2.65 c) 3.15
Summary:
a) 1.5 as a mixed number can be written as 1 1/2 b) 2.65 as a mixed number can be written as 2 13/20 c) 3.15 can be written as 3 3/20
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