Converting Decimals to Fractions
In this article, we will explore how to convert the decimal value 0.00625 to a fraction, specifically when it is part of the expression 23/5.
Converting 0.00625 to a Fraction
To convert the decimal value 0.00625 to a fraction, we can use the following steps:
Step 1: Write the decimal value as a fraction with a denominator of 1
0.00625 = 0.00625/1
Step 2: Multiply the numerator and denominator by a power of 10 to eliminate the decimal point
0.00625/1 = 625/100000
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD)
625 ÷ 625 = 1 100000 ÷ 625 = 160
So, the simplified fraction is:
0.00625 = 1/160
Expressing 23/5 with 0.00625 as a Fraction
Now, let's express the entire expression 23/5 with 0.00625 as a fraction:
23/5 + 0.00625
First, convert the fraction 23/5 to an equivalent fraction with a denominator of 160:
23/5 = 736/160
Then, add the fraction equivalent of 0.00625:
736/160 + 1/160 = 737/160
Therefore, the expression 23/5 with 0.00625 when expressed as a fraction equals:
737/160
In conclusion, we have successfully converted the decimal value 0.00625 to a fraction and expressed the entire expression 23/5 with 0.00625 as a fraction. The final result is 737/160.
