-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.

• 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.