49/60 as a decimal

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This is a simple question about decimal conversion. We need to understand fractions and decimals first. A fraction represents a part of a whole and consists of two parts: the numerator (the number on top), which in this case is 49, indicating how many parts are considered; and the denominator (the number below), which is 60, showing the total number of parts that make up the whole. A decimal is a way to represent numbers that are not whole, using a decimal point to separate the whole part from the fractional part. Numbers to the left of the decimal point represent the whole part, while those to the right represent the fractional part.

What is 49/60 as a decimal?

$49/60 as a decimal$

Answer

49/60 as a decimal is approximately 0.81666... It is a non-terminating, recurring decimal, where the digit 6 repeats infinitely.

Explanation

To convert 49/60 into a decimal, we use division. Since 49 is smaller than 60, we'll need to use the decimal method to find the answer:

Step 1: Identify the numerator and denominator. The numerator (49) will be the dividend, and the denominator (60) will be the divisor.

Step 2: 49 is smaller than 60, so we can't divide directly. We'll introduce a decimal point and add zero to the dividend, making it 490.

Step 3: Divide 490 by 60. Determine how many times 60 fits into 490.

Step 4: 60 goes into 490 approximately 8 times since 60 x 8 = 480. Write 8 in the quotient and subtract 480 from 490, leaving a remainder of 10.

Step 5: Bring down another 0, making it 100. Divide 100 by 60, which goes once, leaving a remainder of 40.

Step 6: Bring down another 0, making it 400. Divide 400 by 60, which goes 6 times, leaving a remainder of 40. This process repeats, showing that 6 is a recurring digit.

Thus, 49/60 as a decimal is approximately 0.81666...

Important Glossaries for 49/60 as a decimal

Fraction: A part of a whole, represented by a numerator and a denominator.
Decimal: A number system based on ten, using a decimal point to separate the whole number from the fractional part.
Numerator: The top number of a fraction, indicating the number of parts being considered.
Denominator: The bottom number of a fraction, signifying the total number of equal parts in the whole.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.