1 5/7 as a Decimal

Professor Greenline Explaining Math Concepts

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A mixed number represents a combination of a whole number and a fraction. The fraction part has a numerator (number on the top) and a denominator (number below). A decimal is a way to represent the number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1 5/7 as a decimal?

$1 5/7 as a decimal$

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...