Answer: 0.1334 as a fraction is 667/5000
Converting the decimal number 0.1334 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 0.1334 can be broken down as:
0.1334 = 0 + 0.1334
Here, 0 is the whole number part, and 0.1334 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1334, to a fraction. To do this, consider the place value of the decimal:
0.1334 =
1334
10000
Now, simplify the fraction 1334/10000. To do this, find the greatest common divisor (GCD) of 1334 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1334 ÷ 2
10000 ÷ 2
=
667
5000
So, 0.1334 as a fraction is 667/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1334 = 0 + 0.1334, express the entire number as a mixed fraction:
0.1334
= 0 +
667
5000
=
0
5000
+
667
5000
=
667
5000
Here, 0/5000 is the whole number 0, and 667/5000 is the fractional part.
Final Result: Fraction Form of 0.1334 After simplifying, we get the final fraction:
Answer: 0.1334 = 667/5000
Converting 0.1334 to a fraction results in 667/5000. 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.