$4 \frac{9}{100}+3 \frac{17}{100}=$
A. 7.26
B. 8.07
C. 7.07
D. 7.16
E. None of these
Answer (1)
Rewrite mixed fractions as sum of integers and fractions.
Add the integer parts and the fractional parts separately: ( 4 + 3 ) + ( 100 9 + 100 17 ) .
Simplify the expression: 7 + 100 26 = 7 + 0.26 .
Calculate the final result: 7.26 , so the answer is 7.26 .
Explanation
Understanding the Problem We are given the expression 4 100 9 + 3 100 17 . We need to evaluate this expression and choose the correct option from the given choices.
Rewriting Mixed Fractions First, let's rewrite the mixed fractions as a sum of an integer and a fraction:
4 100 9 = 4 + 100 9 and 3 100 17 = 3 + 100 17
Adding the Expressions Now, let's add the two expressions:
( 4 + 100 9 ) + ( 3 + 100 17 ) = ( 4 + 3 ) + ( 100 9 + 100 17 )
Simplifying Simplify the expression:
7 + 100 26
Converting to Decimal Rewrite the fraction as a decimal:
100 26 = 0.26
Final Calculation Add the integer and the decimal:
7 + 0.26 = 7.26
Choosing the Correct Option Therefore, the correct option is A, which is 7.26.
Examples
Imagine you're measuring ingredients for a recipe. You need 4 100 9 cups of flour and 3 100 17 cups of sugar. Adding these two quantities together is exactly the kind of problem we just solved! This skill is useful not only in cooking but also in various scenarios where you need to combine quantities expressed as mixed numbers, such as calculating distances, combining weights, or managing time.
