1 5/7 as a Decimal

Answer

1 5/7 in decimals can be written as 1.7142857... It is a recurring decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To convert 1 5/7 to a decimal, we will first deal with the fractional part. Let's perform the division to convert 5/7 into a decimal.

Step 1: Identify the numerator and denominator. The numerator (5) will be taken as the dividend, and the denominator (7) will be the divisor.

Step 2: As 5 is smaller than 7, it can't be divided directly. We'll use decimals to solve this. We will add 0 to the dividend, making it 50, and place a decimal point in the quotient.

Step 3: Now we divide 50 by 7. Determine how many times 7 fits into 50.

Step 4: 7 fits into 50 seven times since 7 × 7 = 49. Write 7 in the quotient place and subtract 49 from 50 to get 1.

Step 5: Bring down another 0, making it 10, and repeat the division process. The division process continues, and the sequence 714285 repeats indefinitely.

Step 6: Combine this decimal with the whole number 1, to get the final result.

The answer for 1 5/7 as a decimal will be 1.7142857...

• Mixed Number: A number consisting of an integer and a fraction.

• 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.

• Recurring Decimal: A decimal in which a sequence of digits repeats indefinitely.