Answer: 0.1496 as a fraction is 187/1250
Converting the decimal number 0.1496 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
Step 1: Understand the DecimalThe decimal 0.1496 can be broken down as:
0.1496 = 0 + 0.1496
Here, 0 is the whole number part, and 0.1496 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1496, to a fraction. To do this, consider the place value of the decimal:
0.1496 =
1496
10000
Now, simplify the fraction 1496/10000. To do this, find the greatest common divisor (GCD) of 1496 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1496 ÷ 8
10000 ÷ 8
=
187
1250
So, 0.1496 as a fraction is 187/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.1496 = 0 + 0.1496, express the entire number as a mixed fraction:
0.1496
= 0 +
187
1250
=
0
1250
+
187
1250
=
187
1250
Here, 0/1250 is the whole number 0, and 187/1250 is the fractional part.
Final Result: Fraction Form of 0.1496 After simplifying, we get the final fraction:
Answer: 0.1496 = 187/1250
Converting 0.1496 to a fraction results in 187/1250. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.