1.7143 as a Fraction

Answer

The answer for 1.7143 as a fraction will be 120/7.

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 converted to a fraction for easy calculation. Here, 1.7143 is the number with a whole part of 1 and a decimal part of 0.7143. We separate the whole number and the decimal to make it 1 + 0.7143.

Step 2: Convert the decimal part to a fraction. Multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 0.7143/1 × 10000/10000 = 7143/10000

Step 3: Here, 143 is the GCD of 7143 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 143. 7143/10000 = 7143/10000 × 1/1 = 7143/10000 = 7143 ÷ 143 / (10000 ÷ 143) = 7143/10000 = 5/7

Step 4: Combine the whole number with the new fraction part: 1 + 5/7 = 7/7 + 5/7 = 12/7 Thus, 1.7143 can be written as a fraction 12/7.

• 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.

• GCD (Greatest Common Divisor): The largest positive integer that divides two or more integers without a remainder.