1-3/7*4 1/5

2 min read Jun 15, 2024
1-3/7*4 1/5

Operating with Fractions: Evaluating the Expression 1-3/7*4 1/5

In this article, we will explore how to evaluate the expression 1-3/7*4 1/5 by following the order of operations (PEMDAS) and applying the rules of fractions.

Understanding the Expression

The given expression is 1-3/7*4 1/5. To evaluate this expression, we need to follow the order of operations:

  1. Parentheses: None
  2. Exponents: None
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Evaluating the Expression

Let's break down the expression:

  • 3/7*4: Multiply 3/7 by 4.

3/7 * 4 = (3*4) / 7 = 12/7

So, the expression becomes:

1 - 12/7 * 1/5

Next, multiply 12/7 by 1/5:

12/7 * 1/5 = 12/35

Now, the expression becomes:

1 - 12/35

Finally, subtract 12/35 from 1:

1 - 12/35 = (35-12)/35 = 23/35

Therefore, the final result is:

1-3/7*4 1/5 = 23/35

Conclusion

By following the order of operations and applying the rules of fractions, we have successfully evaluated the expression 1-3/7*4 1/5 to be equal to 23/35.

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