Q. Evaluate the expression.43×52+21Write your answer as a fraction or as a whole or mixed number.______
Multiply Fractions: First, we need to multiply the fractions43 and 52. To multiply fractions, we multiply the numerators together and the denominators together. So, (43)×(52)=4×53×2=206.
Simplify Result: Next, we simplify the fraction 206 if possible.6 and 20 have a common factor of 2, so we can divide both the numerator and the denominator by 2.206=(20÷26÷2)=103.
Add Fractions: Now, we need to add the simplified fraction 103 to 21. To add fractions, they must have a common denominator. The least common denominator (LCD) for 10 and 2 is 10.
Convert to Common Denominator: We convert 21 to a fraction with a denominator of 10. 21 is equivalent to 105 because 1×(210)=5 and 2×(210)=10. So, 21=105.
Add Fractions with Common Denominator: Finally, we add the two fractions with the common denominator.103+105=10(3+5)=108.
Check for Simplification: We check if the fraction 108 can be simplified.8 and 10 have a common factor of 2, so we can divide both the numerator and the denominator by 2.108=(10÷2)(8÷2)=54.
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