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 from the whole. It has two parts: the numerator (number on the top), here 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. A mixed number like -4 4/25 combines a whole part and a fractional part. 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 -4 4/25 in decimals can be written as -4.16. This is a terminating decimal, meaning it does not repeat infinitely. Explanation To convert -4 4/25 into a decimal, we will first convert the fractional part 4/25 into a decimal. Let's see the step-by-step breakdown of the process: Step 1: Identify the whole number and the fractional part. Here, the whole number is -4, and the fraction is 4/25. Step 2: Convert the fraction 4/25 into a decimal by dividing the numerator by the denominator. Step 3: Divide 4 by 25. Since 4 is smaller than 25, we will take the help of decimals. We add a decimal point and a zero to make it 40. Step 4: Determine how many times 25 goes into 40. The nearest is 1 time (25 × 1 = 25). We place 1 in the quotient and subtract 25 from 40, giving us 15. Step 5: Bring down another 0 to make it 150. Divide 150 by 25 to get 6 (25 × 6 = 150). Step 6: We get a remainder of 0, and the decimal conversion of 4/25 is 0.16. Combining with the whole number, -4 + 0.16 gives us -4.16. The answer for -4 4/25 as a decimal is -4.16.
Mixed Number: A whole number and a fraction combined into one "mixed" number. Fraction: A numerical quantity that represents 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.