onvert the decimal below to a fraction in simplest form.
0, point, 77
0.77
0.77
To convert 0.77 to a fraction in simplest form, we need to represent the decimal as a fraction with a numerator and denominator.
Step 1: Write the decimal as a fraction without the decimal point.
0.77 = 77/100
Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor.
The greatest common divisor of 77 and 100 is 1.
So the simplified fraction is:
77/100
Convert the decimal below to a fraction in simplest form.
0, point, 265
0.265
0.265
To convert 0.265 to a fraction in simplest form, we need to represent the decimal as a fraction with a numerator and denominator.
Step 1: Write the decimal as a fraction without the decimal point.
0.265 = 265/1000
Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor.
The greatest common divisor of 265 and 1000 is 5.
So the simplified fraction is:
265/1000 = 53/200
Convert the following repeating decimal to a fraction in simplest form.
point, 4, start overline, 8, end overline
.
4
8
‾
.4
8
To convert the repeating decimal 0.4888... to a fraction in simplest form, we'll use an algebraic method.
Let x = 0.4888...
Multiplying both sides of the equation by 10000 gives:
10000x = 4888.8888...
Subtracting the original equation from the new equation eliminates the repeating decimal:
10000x - x = 4888.8888... - 0.4888...
9999x = 4888.4
Now, we can solve for x:
x = 4888.4/9999
To simplify this fraction, we find their greatest common divisor. In this case, there isn't one apparent, so we'll use a calculator or an online tool to calculate the fraction.
x ≈ 0.48879887988798879887...
Using a calculator, we find that x ≈ 0.4888/1.0001
So, in simplest form, the fraction equivalent of the repeating decimal is approximately 4888/10001.
To convert 0.77 to a fraction in simplest form, follow these steps:
Step 1: Write the decimal as a fraction by placing the decimal value over the appropriate place value. In this case, the decimal is in the hundredths place, so the denominator will be 100.
0.77 = 77/100
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 77 and 100 is 1.
77/100 = 77/100
Therefore, 0.77 in simplest form is 77/100.
To convert the decimal 0.77 to a fraction in simplest form, you can follow these steps:
Step 1: Count the number of decimal places. In this case, there are two decimal places.
Step 2: Write 0.77 as the numerator of the fraction. Since there are two decimal places, the denominator of the fraction should be 100 (10 raised to the power of the number of decimal places). Therefore, the fraction becomes 0.77/100.
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 77 and 100 is 1. So, dividing both by 1 gives us 0.77/100.
Therefore, 0.77 can be written as the fraction 77/100 in simplest form.