7/4 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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This is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It consists of two parts: the numerator (the number on top), which represents how many parts we have, and the denominator (the number below), which shows how many parts make up the whole. A decimal is a way to express numbers that aren't 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 number, while those to the right represent the fractional part.

What is 7/4 as a decimal?

$7/4 as a decimal$

Answer

7/4 in decimals can be written as 1.75. It is a terminating decimal because it does not repeat infinitely.

Explanation

To convert 7/4 into a decimal, we will use the division method. Here, 7 is the numerator (dividend) and 4 is the denominator (divisor). Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. The numerator (7) will be the dividend, and the denominator (4) will be the divisor.

Step 2: Divide 7 by 4. Since 7 is greater than 4, we can perform the division directly.

Step 3: 4 goes into 7 once (4 × 1 = 4). Subtract 4 from 7, which leaves a remainder of 3.

Step 4: Bring down a 0 to make it 30. Divide 30 by 4, which gives 7 (4 × 7 = 28). Subtract 28 from 30, leaving a remainder of 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 4, which gives 5 (4 × 5 = 20). Subtract 20 from 20, leaving no remainder.

The answer for 7/4 as a decimal is 1.75.

Important Glossaries for 7/4 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.