What is 15 divided by 4?
The Correct answer and Explanation is:
To divide 15 by 4, you perform the operation 15÷415 \div 415÷4.
Calculation
When you divide, you can also express it as a fraction:154\frac{15}{4}415
- Performing the Division:
- The number 15 is the dividend (the number being divided), and 4 is the divisor (the number you are dividing by).
- When you divide 15 by 4, you determine how many whole times 4 can fit into 15.
- Finding the Whole Number Part:
- 4 goes into 15 three times (since 4×3=124 \times 3 = 124×3=12), but if you try to fit in 4 four times, 4×4=164 \times 4 = 164×4=16, which exceeds 15.
- Therefore, the whole number part of the division is 3.
- Calculating the Remainder:
- After taking out 121212 (which is 4×34 \times 34×3) from 15, you have a remainder of 333 (since 15−12=315 – 12 = 315−12=3).
- Thus, the division can be expressed as:
- Expressing as a Mixed Number:
- The remainder can be expressed as a fraction over the divisor:
- This gives you a mixed number 3343\frac{3}{4}343.
- Converting to Decimal:
- To find the decimal equivalent, you can convert the remainder fraction to a decimal.
- Dividing the remainder 333 by the divisor 444 gives 0.750.750.75.
- Therefore, the decimal form of the result is 3.753.753.75.
Final Result
In summary, 151515 divided by 444 equals 3.753.753.75. This result illustrates how division can yield both whole numbers and fractions, which can also be expressed as decimals. Understanding division in this manner is fundamental in mathematics, enabling clearer comprehension of ratios, proportions, and real-world applications such as measuring and splitting resources.