-4/7 as a Decimal

Answer

-4/7 in decimals can be written as -0.5714285….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get -4/7 in decimal, we will use the division method. Here as 4 is smaller than 7, we will take help of the decimal method which will give us -0.5714285. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-4) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: As 4 is smaller than 7, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 7. Let's see how many times 7 makes 40.

Step 4: 40 is not a multiple of 7, so we will look for the nearest number that is 7 × 5 = 35. We will write 5 in the quotient place and subtract 35 from 40, giving 5.

Step 5: Bring down another 0 in the dividend place and make 5 as 50, then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -4/7 as a decimal will be -0.5714285……

• 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.

• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.