Last updated on May 26th, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, -9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 22. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
Answer -9/22 in decimals can be written as -0.4090909090….. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely. Explanation To get -9/22 in decimal, we will use the division method. Since -9 is smaller than 22, we will use the decimal method, which will give us -0.40909090.... Let's see the step-by-step breakdown of the process: Step 1: Identify the numerator and denominator because the numerator (-9) will be taken as the dividend and the denominator (22) will be taken as the divisor. Step 2: As -9 is smaller than 22, it can't be divided directly; we will take the help of decimals. We will add 0 to the dividend, which will make -9 as -90 and add a decimal point in the quotient place. Step 3: Now that it is -90 we can divide it by 22. Let's see how many times 22 fits into -90. Step 4: 90 is not a multiple of 22, so we will look for the nearest number, which is 22 × 4 = 88. We will write 4 in the quotient place and subtract 88 from 90, giving us 2. Step 5: Bring down another 0 in the dividend place, making it 20, and 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 -9/22 as a decimal will be -0.40909090……
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.