6.4375 as a Fraction

Answer

The answer for 6.4375 as a fraction will be 103/16.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be separated into its whole and fractional parts for easy calculation. Here, 6 is the whole number, and 0.4375 is the fractional part.

Step 2: Convert the fractional part to a fraction. To remove the decimal, multiply both the numerator and the denominator by 10000 (because there are 4 decimal places). 0.4375/1 × 10000/10000 = 4375/10000

Step 3: Here 625 is the GCD of 4375 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 625. 4375/10000 = 7/16

Step 4: Combine the whole number and the simplified fractional part. 6 + 7/16 = (96/16) + (7/16) = 103/16

Thus, 6.4375 can be written as a fraction 103/16.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Greatest Common Divisor (GCD): The largest positive integer that divides each of the numbers without a remainder.