2/5-7*(-3)
2/5 - 7 * (-3) = 2/5 + 21 = 21/5
To solve 2/5 - 7 * (-3), we follow the order of operations, which states that we need to perform the multiplication before subtraction. Let's break it down step by step:
Step 1: Start by simplifying the expression inside the parentheses.
-3 multiplied by 7 equals -21.
Step 2: Substitute the results of the previous step into the expression: 2/5 - (-21).
Step 3: Multiply the numerator of 2/5 by the denominator of 1 to get a common denominator.
2 multiplied by 1 equals 2.
Step 4: Rewrite the expression with a common denominator.
2/5 - (-21) = 2/5 + 21.
Step 5: Convert the fractions to have a common denominator.
Since 2/5 already has a denominator of 5, rewrite 21 as a fraction with a denominator of 5:
21 = 21/1, and multiplied by 5/5, it becomes 105/5.
Step 6: Add the fractions with a common denominator.
2/5 + 105/5 = (2 + 105)/5.
Step 7: Simplify the numerator.
2 + 105 equals 107, so the expression becomes 107/5.
Therefore, the final answer is 107/5.