43/60 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 fraction represents a part of the whole. It has two parts: numerator (number on the top), here, 43 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 a 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 43/60 as a decimal?

$43/60 as a decimal$

Answer

43/60 in decimals can be written as approximately 0.71666… It is a non-terminating decimal, showing it will repeat the same digit infinitely.

Explanation

To get 43/60 in decimal, we will use the division method. Here, as 43 is smaller than 60, we will take the help of the decimal method, which will give us approximately 0.71666. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (43) will be taken as the dividend and the denominator (60) will be taken as the divisor.

Step 2: As 43 is smaller than 60, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 43 as 430, and add a decimal point in the quotient place.

Step 3: Now that it is 430, we can divide it by 60. Let's see how many times 60 fits into 430.

Step 4: 60 × 7 = 420 is the nearest multiple of 60 that is less than 430. We will write 7 in the quotient place and subtract 420 from 430, which gives 10.

Step 5: Bring down another 0 in the dividend place to make 10 as 100 and then repeat the division process. The division process continues, as we don't get the remainder as 0. This process results in a non-terminating decimal.

The answer for 43/60 as a decimal will be approximately 0.71666…