what is 35 of 18

Natashya

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27-12-2024

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Finding a fraction of a number is a common math problem. This article will show you how to calculate 3/5 of 18, explaining the process clearly and simply. Understanding this will help you tackle similar fraction problems with confidence.

Understanding the Problem: 3/5 of 18

The question "What is 3/5 of 18?" asks us to find three-fifths of the number 18. In simpler terms, we need to determine what portion of 18 represents three out of five equal parts.

Method 1: Multiplying Fractions

This is the most straightforward method. We can solve this by multiplying the fraction 3/5 by the whole number 18. Remember that a whole number can be written as a fraction over 1 (18/1 in this case).

Step 1: Set up the equation

(3/5) * (18/1) = ?

Step 2: Multiply the numerators (top numbers)

3 * 18 = 54

Step 3: Multiply the denominators (bottom numbers)

5 * 1 = 5

Step 4: Simplify the fraction

This gives us the improper fraction 54/5. To convert this to a mixed number (a whole number and a fraction), we divide the numerator (54) by the denominator (5):

54 ÷ 5 = 10 with a remainder of 4.

Therefore, 54/5 is equal to 10 4/5

Method 2: Finding One-Fifth, Then Multiplying

This method is helpful for visualizing the problem.

Step 1: Find one-fifth of 18

Divide 18 by 5: 18 ÷ 5 = 3.6

Step 2: Multiply by three

Since we want three-fifths, multiply the result from Step 1 by 3: 3.6 * 3 = 10.8

Therefore, 3/5 of 18 is 10.8

Method 3: Using Decimal Equivalents

We can convert the fraction 3/5 into a decimal.

Step 1: Convert the fraction to a decimal

3 ÷ 5 = 0.6

Step 2: Multiply by 18

0.6 * 18 = 10.8

Again, 3/5 of 18 is 10.8

Conclusion: 3/5 of 18 = 10.8

All three methods lead to the same answer: 3/5 of 18 is 10.8. Choosing the method that works best for you depends on your preference and understanding of fractions and decimals. Remember to always simplify your answer if possible, which in this case, is already in its simplest form. Understanding these methods will allow you to solve a wide range of similar fraction problems.