46 3/8 as a Decimal

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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 from the whole. It has two parts, numerator (the number on the top) here, 3 represents how many parts out of the whole. The denominator (the 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 to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 46 3/8 as a decimal?

$46 3/8 as a decimal$

Answer

46 3/8 in decimals can be written as 46.375. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To convert 46 3/8 to a decimal, we will use the division method for the fractional part.

Step 1: Identify the numerator and denominator of the fraction. Here, 3 is the numerator (dividend) and 8 is the denominator (divisor).

Step 2: Divide 3 by 8. Since 3 is smaller than 8, we add a decimal point and a zero to the dividend, making it 30.

Step 3: Divide 30 by 8, which gives 3 with a remainder of 6. Place 3 in the quotient after the decimal point.

Step 4: Bring down another 0 to make it 60. Divide 60 by 8, which gives 7 with a remainder of 4. Add 7 to the quotient.

Step 5: Bring down another 0 to make it 40. Divide 40 by 8, which gives 5 with no remainder. Add 5 to the quotient.

Thus, the decimal for 3/8 is 0.375, making the entire number 46.375.

Important Glossaries for 46 3/8 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.