1 5/8 as a Decimal

Professor Greenline Explaining Math Concepts

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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 (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 the 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 that to the right represents the fractional part.

What is 1 5/8 as a decimal?

$1 5/8 as a decimal$ Answer

1 5/8 in decimals can be written as 1.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 1 5/8 in decimal, we will first convert the mixed number to an improper fraction and then perform division.

Step 1: Convert the mixed number to an improper fraction. Multiply the whole number (1) by the denominator (8) and add the numerator (5). This gives us $1 \times 8 + 5 = 13$. So, 1 5/8 is equivalent to 13/8.

Step 2: Identify the numerator and denominator because numerator (13) will be taken as dividend and denominator (8) will be taken as divisor.

Step 3: Divide 13 by 8. 8 goes into 13 once, giving us a quotient of 1 and a remainder of 5.

Step 4: Bring down a 0 to make it 50 and divide by 8. 8 goes into 50 six times, giving us a quotient of 6 and a remainder of 2.

Step 5: Bring down another 0 to make it 20 and divide by 8. 8 goes into 20 twice, giving us a quotient of 2 and a remainder of 4.

Step 6: Bring down another 0 to make it 40 and divide by 8. 8 goes into 40 five times, giving us a quotient of 5 and a remainder of 0. Since there is no remainder, the division ends here.

The answer for 1 5/8 as a decimal is 1.625.

Important Glossaries for 1 5/8 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.
Mixed Number: A whole number and a fraction combined into one "mixed" number.
Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
Terminating Decimal: A decimal that ends and does not repeat infinitely.