Q. Evaluate the expression.21+41×52Write your answer as a fraction or as a whole or mixed number.______
Perform Multiplication: First, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). There are no parentheses or exponents in this expression, so we start with multiplication.We need to multiply 41 by 52.
Simplify Result: To multiply fractions, we multiply the numerators together and the denominators together.41×52=4×51×2=202
Add Fractions: Now we simplify the fraction 202 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 202=(20/2)(2/2)=101
Convert to Common Denominator: Next, we add the simplified fraction to the other fraction in the expression. 21+101
Add Fractions: To add fractions, they must have a common denominator. The least common denominator (LCD) for 2 and 10 is 10. We convert 21 to a fraction with a denominator of 10 by multiplying both the numerator and the denominator by 5. 21=(2×5)(1×5)=105
Simplify Result: Now we can add the two fractions with the common denominator.105+101=10(5+1)=106
Simplify Result: Now we can add the two fractions with the common denominator.105+101=10(5+1)=106We simplify the fraction 106 by dividing both the numerator and the denominator by their greatest common divisor, which is 2.106=(10/2)(6/2)=53
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