4 37/80 as a Decimal

Answer

4 37/80 in decimals can be written as 4.4625. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 4 37/80 into a decimal, we will split it into its whole and fractional parts. The whole number is 4, and the fraction is 37/80. Let's convert the fraction to a decimal.

Step 1: Identify the numerator and denominator because the numerator (37) will be taken as the dividend and the denominator (80) will be taken as the divisor.

Step 2: Divide 37 by 80 using long division.

Step 3: 80 goes into 370 four times (since 80 × 4 = 320). Write 4 in the quotient place and subtract 320 from 370 to get 50.

Step 4: Bring down a 0 to make it 500.

Step 5: 80 goes into 500 six times (since 80 × 6 = 480). Write 6 in the quotient place and subtract 480 from 500 to get 20.

Step 6: Bring down another 0 to make it 200.

Step 7: 80 goes into 200 two times (since 80 × 2 = 160). Write 2 in the quotient place and subtract 160 from 200 to get 40.

Step 8: Bring down another 0 to make it 400.

Step 9: 80 goes into 400 five times (since 80 × 5 = 400). Write 5 in the quotient place and subtract 400 from 400 to get 0. The decimal equivalent of 37/80 is 0.4625. Adding this to the whole number 4, we get 4.4625.

• 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.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.