7 1/8 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 of the whole. It has two parts: the numerator (number on the top) here, 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 7 1/8 as a decimal?

$7 1/8 as a decimal$

Answer

7 1/8 in decimals can be written as 7.125.

Explanation

To convert 7 1/8 to a decimal, we first convert the fraction part (1/8) to a decimal.

Step 1: Identify the numerator and denominator. The numerator (1) will be taken as the dividend and the denominator (8) as the divisor.

Step 2: Perform the division 1 ÷ 8. Since 1 is smaller than 8, we need to add a decimal point and 0, making it 10.

Step 3: Divide 10 by 8. The quotient is 1, with a remainder of 2.

Step 4: Bring down another 0, making it 20. Divide 20 by 8. The quotient is 2, with a remainder of 4.

Step 5: Bring down another 0, making it 40. Divide 40 by 8. The quotient is 5, with no remainder. Thus, 1/8 as a decimal is 0.125.

Step 6: Add this decimal to the whole number 7, resulting in 7.125.

Important Glossaries for 7 1/8 as a decimal

Mixed Number: A whole number combined with a fraction.
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.