-3/4 as a Decimal

Answer

-3/4 in decimals can be written as -0.75. It is a terminating decimal, meaning it does not repeat indefinitely.

Explanation

To get -3/4 in decimal, we will use the division method. Here, as -3 is smaller than 4, we will take the help of the decimal method which will give us -0.75. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-3) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: As -3 is smaller than 4, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, consider -30, and add a decimal point in the quotient place.

Step 3: Now that it is -30, we can divide it by 4. Let's see how many times 4 divides into 30.

Step 4: 4 goes into 30 seven times (4 × 7 = 28). We will write 7 in the quotient place and subtract 28 from 30, which gives us 2.

Step 5: Bring down another 0 in the dividend place and make 20, then repeat the division process.

Step 6: 4 goes into 20 five times (4 × 5 = 20). We will write 5 in the quotient place, and subtracting gives a remainder of 0, ending the division. Since there is no remainder, the process concludes here.

The answer for -3/4 as a decimal is -0.75.

• 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. ```