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:
- Parentheses: None
- Exponents: None
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Evaluating the Expression
Let's break down the expression:
3/7*4
: Multiply3/7
by4
.
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
.