Brigid is building a table with her mom as a weekend project. She needs 5.975 of wood. What Is this amount as a fraction
To express 5.975 as a fraction, we can write it as the fraction 5 and 975/1000. Simplifying this fraction, we get 5 and 39/200.
To express the amount of wood Brigid needs as a fraction, we can first convert the decimal to a fraction. Here's how to do it step-by-step:
Step 1: Write the decimal as a fraction by placing the decimal number over the appropriate power of 10.
5.975 = 5975/1000
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor.
The greatest common factor of 5975 and 1000 is 25, so divide both numbers by 25.
5975/1000 ÷ 25/25 = 239/40
Therefore, the decimal 5.975 can be expressed as the fraction 239/40.
To express 5.975 as a fraction, you need to determine the relationship between the numerator (the number above the fraction line) and the denominator (the number below the fraction line).
Step 1: Determine the decimal portion
The decimal portion of 5.975 is 0.975.
Step 2: Convert the decimal to a fraction
To convert a decimal to a fraction, you can follow these steps:
1. Write the decimal as the numerator (0.975).
2. Determine the denominator based on the number of decimal places. In this case, there are three decimal places, so the denominator will be 10^3 = 1000.
Therefore, 0.975 can be written as 975/1000.
Step 3: Simplify the fraction (if possible)
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 975 and 1000 is 25.
Dividing both the numerator and denominator by 25, we get:
975 ÷ 25 = 39
1000 ÷ 25 = 40
So, the simplified fraction of 5.975 is 39/40.