onvert the decimal below to a fraction in simplest form.

Question

0, point, 77
0.77
0.77

Answer 1

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

Answer 2

Convert the decimal below to a fraction in simplest form.
0, point, 265
0.265
0.265

Answer 3

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

Answer 4

Convert the following repeating decimal to a fraction in simplest form.
point, 4, start overline, 8, end overline
.
4
8
‾
.4
8

Answer 5

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.