1 4/7 as a Decimal

Answer

1 4/7 in decimals can be written as 1.5714285….. It is a non-terminating decimal, showing that the digits after the decimal point repeat in a sequence.

Explanation

To convert 1 4/7 to a decimal, we will use division for the fractional part. The whole number 1 remains as is. Here’s the step-by-step breakdown of the process:

Step 1: Identify the fractional part, which is 4/7.

Step 2: Divide the numerator (4) by the denominator (7) to convert the fraction to a decimal.

Step 3: As 4 is smaller than 7, we need to use decimal division. Place a decimal point in the quotient and add zeros to the dividend.

Step 4: Divide 4 by 7, which gives approximately 0.5714285, a repeating sequence.

Step 5: Combine the whole number with the decimal part to get 1.5714285. The process of division shows that 4/7 is 0.5714285 repeating, and the final answer for 1 4/7 as a decimal is 1.5714285.

• Mixed Number: A combination of a whole number and a fraction.
   
• 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.
   
• Non-terminating Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.