46 3/8 as a Decimal

Answer

46 3/8 in decimals can be written as 46.375. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To convert 46 3/8 to a decimal, we will use the division method for the fractional part.

Step 1: Identify the numerator and denominator of the fraction. Here, 3 is the numerator (dividend) and 8 is the denominator (divisor).

Step 2: Divide 3 by 8. Since 3 is smaller than 8, we add a decimal point and a zero to the dividend, making it 30.

Step 3: Divide 30 by 8, which gives 3 with a remainder of 6. Place 3 in the quotient after the decimal point.

Step 4: Bring down another 0 to make it 60. Divide 60 by 8, which gives 7 with a remainder of 4. Add 7 to the quotient.

Step 5: Bring down another 0 to make it 40. Divide 40 by 8, which gives 5 with no remainder. Add 5 to the quotient.

Thus, the decimal for 3/8 is 0.375, making the entire number 46.375.

• 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.