Find the Numerical Equivalent of 1/40: Fraction Conversion

Question

Which number is equal to 140 \frac{1}{40} ?

Video Solution

Solution Steps

00:00 Convert to decimal fraction
00:03 Convert the fraction to a fraction with denominator of 1000
00:06 Make sure to multiply both numerator and denominator
00:17 When the denominator equals 1000, the numerator is the decimal number
00:24 When dividing by 1000, the decimal point moves 3 places to the left
00:39 And this is the solution to the question

Step-by-Step Solution

Let's multiply the numerator and denominator by a number that will help us make the denominator 1000:

1×2540×25=251000 \frac{1\times25}{40\times25}=\frac{25}{1000}

Next, we will rewrite the simple fraction as a decimal fraction:

25.0 25.0

Since we're dividing by 10, the decimal point will move three places to the left, giving us:

.0250 .0250

Finally we'll add the 0 before the decimal point to get:

0.0250=0.025 0.0250=0.025

Answer

0.025