-46 1/4 as a Decimal

Answer

-46 1/4 in decimals can be written as -46.25.

Explanation

To get -46 1/4 in decimal, we will use division method for the fractional part 1/4. Let's see the step-by-step breakdown of the process:

Step 1 : Identify the numerator and denominator because numerator (1) will be taken as dividend and denominator (4) will be taken as divisor.

Step 2 : Divide 1 by 4. Since 1 is smaller than 4, we will add a decimal point in the quotient and make it 10.

Step 3 : Now that it is 10, divide it by 4. 4 goes into 10 two times (4×2=8).

Step 4 : Subtract 8 from 10, which gives 2. Bring down a 0 to make it 20.

Step 5 : Divide 20 by 4, which goes exactly 5 times (4×5=20), leaving a remainder of 0. Thus, 1/4 as a decimal is 0.25. Combine this with the whole number part -46, resulting in -46.25 as the decimal representation.

• 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 whole number and a fraction combined into one "mixed" number.