covert 0.75 in a fraction of the simplest form explain
To convert 0.75 into a fraction of simplest form, we can use a fact about decimals and fractions. The decimal places after the decimal point represent the denominator of the fraction, and the digits before the decimal point represent the numerator.
In this case, 0.75 has two decimal places, so the denominator of the fraction will be 100 (since 0.75 can also be written as 75/100). However, we want to express the fraction in simplest form, so we need to find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 75 and 100 is 25, which means we can simplify the fraction by dividing both the numerator and denominator by 25. This gives us (75/25)/(100/25), which simplifies to 3/4.
Therefore, 0.75 can be expressed as the fraction 3/4 in simplest form.
make you explanation short
To convert 0.75 into a fraction of simplest form, we divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 75 and 100 is 25, so 0.75 simplifies to 3/4.
To convert 0.75 into a fraction in simplest form, you can follow these steps:
Step 1: Write down the decimal number as the numerator of the fraction. In this case, the numerator is 0.75.
Step 2: To convert the decimal number into a fraction, determine the denominator based on the number of decimal places. For 0.75, there are two decimal places, so the denominator will be 100 (since there are two digits after the decimal point).
Step 3: Simplify the fraction, if possible. In this case, both the numerator and denominator can be divided by 25.
So, 0.75 can be expressed as:
0.75 = 75/100
Dividing both the numerator and denominator by 25:
0.75 = (75/25) / (100/25)
= 3/4
Therefore, 0.75 as a fraction in simplest form is 3/4.
To convert 0.75 into a fraction, we need to express the decimal as a fraction with a numerator and a denominator.
Step 1: Count the number of decimal places after the whole number. In this case, 0.75 has two decimal places.
Step 2: Create the fraction using the decimal value as the numerator and the place value as the denominator. Since there are two decimal places, the denominator will be 100, which is 10 raised to the power of 2.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 75 and 100 is 25.
Let's walk through the steps to convert 0.75 into a fraction:
Step 1: 0.75 has two decimal places.
Step 2: The fraction is 0.75/100 since there are two decimal places.
Step 3: Simplifying the fraction, we divide both the numerator and denominator by 25. The result is (0.75 ÷ 25) / (100 ÷ 25) which equals 3/4.
So, 0.75 in its simplest form is equal to 3/4.