Ask a New Question
Menu

12.8 as a fraction

7 answers

To convert the decimal 12.8 to a fraction, you can follow these steps:

  1. Write 12.8 as a fraction: \[ 12.8 = \frac{128}{10} \]

  2. Simplify the fraction:

    • Both the numerator and the denominator can be divided by 2: \[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]

So, 12.8 as a fraction is: \[ \frac{64}{5} \]

12.8 as a fraction. answer in simpilist form

To convert 12.8 to a fraction in its simplest form, follow these steps:

  1. Write 12.8 as a fraction: \[ 12.8 = \frac{128}{10} \]

  2. Simplify the fraction:

    • The greatest common divisor (GCD) of 128 and 10 is 2.
    • Divide both the numerator and the denominator by 2: \[ \frac{128 \div 2}{10 \div 2} = \frac{64}{5} \]

Thus, 12.8 as a fraction in simplest form is: \[ \frac{64}{5} \]

12.8 as a improper fraction

To express 12.8 as an improper fraction, you can follow these steps:

  1. First, convert the whole number part and the decimal into a fraction. The whole number part of 12.8 is 12, and the decimal part (0.8) can be expressed as a fraction: \[ 0.8 = \frac{8}{10} = \frac{4}{5} \quad (\text{when simplified}) \]

  2. Now, combine the whole number and the fraction: \[ 12 = \frac{12 \times 5}{5} = \frac{60}{5} \] Then add the two fractions: \[ 12.8 = 12 + 0.8 = \frac{60}{5} + \frac{4}{5} = \frac{60 + 4}{5} = \frac{64}{5} \]

Therefore, 12.8 as an improper fraction is: \[ \frac{64}{5} \]

6.125 as a fraction or mixed number in simpulist form

To convert 6.125 to a fraction or mixed number in simplest form, follow these steps:

Step 1: Separate the whole number from the decimal

The whole number part is 6, and the decimal part is 0.125.

Step 2: Convert the decimal to a fraction

To convert 0.125 to a fraction: \[ 0.125 = \frac{125}{1000} \]

Step 3: Simplify the fraction

Now simplify \(\frac{125}{1000}\):

  • The GCD of 125 and 1000 is 125.
  • Divide both the numerator and the denominator by 125: \[ \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \]

Step 4: Combine the whole number with the fraction

Now, combine the whole number part (6) with the fraction \(\frac{1}{8}\): \[ 6.125 = 6 + 0.125 = 6 + \frac{1}{8} = \frac{6 \cdot 8 + 1}{8} = \frac{48 + 1}{8} = \frac{49}{8} \]

Final Result

Thus, 6.125 as a mixed number is: \[ 6 \frac{1}{8} \] And as an improper fraction, it is: \[ \frac{49}{8} \]