-90 5/8 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: the numerator (number on the top) and the denominator (number below). The numerator represents how many parts are being considered out of the whole, and the denominator shows how many parts make up the whole. A decimal is a way to represent a number that is not 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, and those to the right represent the fractional part.

What is -90 5/8 as a decimal?

$-90 5/8 as a decimal$

Answer

-90 5/8 in decimals can be written as -90.625.

Explanation

To convert -90 5/8 into a decimal, follow these steps:

Step 1: Convert the mixed number into an improper fraction. -90 5/8 = -(90 * 8 + 5)/8 = -725/8.

Step 2: Divide the numerator by the denominator to get the decimal form.

Step 3: Divide -725 by 8.

Step 4: 8 goes into 72 eight times (8 * 8 = 64). Subtract 64 from 72 to get 8.

Step 5: Bring down the next digit to make 85. 8 goes into 85 ten times (8 * 10 = 80). Subtract 80 from 85 to get 5.

Step 6: Bring down a zero to make 50. 8 goes into 50 six times (8 * 6 = 48). Subtract 48 from 50 to get 2.

Step 7: Bring down another zero to make 20. 8 goes into 20 two times (8 * 2 = 16). Subtract 16 from 20 to get 4.

Step 8: Bring down another zero to make 40. 8 goes into 40 five times (8 * 5 = 40) with no remainder.

Thus, the answer for -90 5/8 as a decimal is -90.625.

Important Glossaries for -90 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.
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.
Mixed Number: A number consisting of an integer and a proper fraction.