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.

• 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.