Answer:
Therefore, the simplified form of 3/5 + (-1/4) * 7/10 is 17/40.
step by step explanation :
To simplify the expression 3/5 + (-1/4) * 7/10, we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
1. Multiply (-1/4) by (7/10):
(-1/4) * (7/10) = -7/40
2. Now we have the expression 3/5 + (-7/40).
3. To add fractions, we need a common denominator. In this case, the least common denominator (LCD) is 40. We can convert both fractions to have a denominator of 40:
(3/5) * (8/8) = 24/40
4. Now the expression becomes 24/40 + (-7/40).
5. Combine the numerators while keeping the common denominator:
24/40 + (-7/40) = 17/40
Therefore, the simplified form of 3/5 + (-1/4) * 7/10 is 17/40.