55/60 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 55 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 60. A decimal is a way to represent the number that is not whole, using a (.) or a decimal 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 55/60 as a decimal?

$55/60 as a decimal$

Answer

55/60 in decimals can be simplified to 0.91666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 55/60 into a decimal, we will use the division method. Since the numerator is smaller than the denominator, the result will be less than 1. We simplify 55/60 to 11/12 first, then proceed with the division:

Step 1: Identify the numerator and denominator. The numerator (11) will be taken as the dividend, and the denominator (12) will be the divisor.

Step 2: Since 11 is smaller than 12, we can't divide directly. We use decimals, adding a 0 to the dividend, making it 110, and place a decimal point in the quotient.

Step 3: Now, divide 110 by 12. Determine how many times 12 fits into 110.

Step 4: 12 x 9 = 108, which is the closest multiple less than 110. Write 9 in the quotient and subtract 108 from 110, resulting in 2.

Step 5: Bring down another 0 to make 20 and repeat the division process. The division process continues, repeating the cycle, indicating a recurring decimal.

The answer for 55/60 as a decimal is approximately 0.91666……