1 3/7 as a Decimal

Answer

1 3/7 in decimals can be written as 1.428571. It is a repeating decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 1 3/7 to a decimal, we first convert the fractional part 3/7 into a decimal and then add it to the whole number 1. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fractional part. Here, the whole number is 1, and the fraction is 3/7.

Step 2: Convert the fraction 3/7 to a decimal by dividing the numerator by the denominator.

Step 3: Divide 3 by 7 to get the decimal.

Step 4: Since 3 is less than 7, we add a decimal point and bring down a zero to make it 30.

Step 5: 7 goes into 30 four times (7 × 4 = 28). Write 4 after the decimal point and subtract 28 from 30 to get 2.

Step 6: Bring down another 0 to make it 20. 7 goes into 20 two times (7 × 2 = 14). Write 2 in the quotient.

Step 7: Subtract 14 from 20 to get 6. Bring down another 0 to make it 60.

Step 8: 7 goes into 60 eight times (7 × 8 = 56). Write 8 in the quotient.

Step 9: Continue this process to get the repeating decimal 0.428571.

Step 10: Add this decimal to the whole number 1 to get 1.428571.

Thus, 1 3/7 as a decimal is 1.428571.

• 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.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.