3.20 divided by 16

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24-11-2024

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Dividing 3.20 by 16: A Step-by-Step Guide

Dividing decimals can seem daunting, but with a systematic approach, it becomes straightforward. Let's break down how to solve 3.20 divided by 16. We'll explore two methods: long division and converting to fractions.

Method 1: Long Division

The traditional long division method works well for this problem. Here's how to do it:

1. Set up the problem: Write the division problem as 16 ) 3.20.

2. Ignore the decimal: For now, temporarily ignore the decimal point in 3.20 and treat it as 320.

3. Divide: Perform long division as you would with whole numbers. Ask yourself, "How many times does 16 go into 32?" The answer is 2. Write the 2 above the 2 in 320.

4. Multiply and subtract: Multiply 2 by 16 (which equals 32). Write 32 below the 32 in 320 and subtract. This leaves you with 0.

5. Bring down the next digit: Bring down the 0 from 320.

6. Divide again: Now you have 00. How many times does 16 go into 0? The answer is 0. Write 0 above the 0 in 320.

7. Place the decimal: Now, go back and place the decimal point in the quotient (the answer) directly above the decimal point in the dividend (3.20).

Therefore, the answer is 0.2.

Method 2: Converting to Fractions

Another way to solve this is by converting the decimal to a fraction and then simplifying:

1. Write as a fraction: 3.20 can be written as the fraction 320/100 (since it's 320 hundredths).

2. Simplify the fraction: Both 320 and 100 are divisible by 20. Simplifying gives you 16/5.

3. Divide the numerator by the denominator: Now divide 16 by 5. This gives you 3 with a remainder of 1. We can express this as a decimal by adding a zero to the remainder and continuing the division. This leads to 3.2. However, we need to remember that we're dividing 16/5 by 16, not 3.2.

4. Divide by 16: Now divide the simplified fraction (16/5) by 16. This can be written as (16/5) / 16, which simplifies to 1/5.

5. Convert to decimal: 1/5 is equal to 0.2.

Conclusion

Both methods demonstrate that 3.20 divided by 16 equals 0.2. Choosing the method that you find easiest and most comfortable will help you solve similar problems efficiently. Remember to always double-check your work!