91/4 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

This is a straightforward question on decimal conversion. Initially, we must understand fractions and decimals. A fraction signifies a part of a whole and consists of two components: the numerator (the number on top), which in this case is 91, indicating how many parts of the whole are present, and the denominator (the number below), which here is 4, showing how many parts make up the whole. A decimal is a representation of a number that is 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, while numbers to the right indicate the fractional portion.

What is 91/4 as a decimal?

$91/4 as a decimal$

Answer

91/4 as a decimal is 22.75. This is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 91/4 into a decimal, we use the division method. Here, 91 is divided by 4 to get the decimal representation. Here's a step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (91) is the dividend, and the denominator (4) is the divisor.

Step 2: Divide 91 by 4.

Step 3: 4 goes into 9 two times (since 4 × 2 = 8), leaving a remainder of 1.

Step 4: Bring down the next digit, which gives us 11. 4 goes into 11 two times (4 × 2 = 8), leaving a remainder of 3.

Step 5: Bring down the next digit (0, after the decimal point), making it 30. 4 goes into 30 seven times (4 × 7 = 28), leaving a remainder of 2. Step 6: Bring down another 0 to make it 20. 4 goes into 20 five times (4 × 5 = 20), leaving a remainder of 0, concluding the division.

The result for 91/4 as a decimal is 22.75.

Important Glossaries for 91/4 as a decimal

Fraction: A numerical expression representing a part of a whole.
Decimal: A system of numbers based on powers of ten, using a point to separate the whole number from the fractional part.
Numerator: The top part of a fraction, showing how many parts are being considered.
Denominator: The bottom part of a fraction, indicating how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.