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Last updated on March 18th, 2025
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, numerator (number on the top) and denominator (number below). In this case, 5 is the numerator and 8 is the denominator, indicating 5 parts out of 8. 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.
90 5/8 in decimals can be written as 90.625. It is a terminating decimal.
To convert 90 5/8 to a decimal, we need to convert the fractional part (5/8) to a decimal and then add it to the whole number (90).
Step 1: Identify the numerator (5) and the denominator (8). The fraction 5/8 needs to be converted to a decimal.
Step 2: Divide 5 by 8 using long division.
Step 3: 5 divided by 8 equals 0.625. This is a terminating decimal because the division ends with a remainder of 0.
Step 4: Now, add 0.625 to the whole number 90.
Step 5: The final result is 90 + 0.625 = 90.625.
Therefore, 90 5/8 as a decimal is 90.625.