Question
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Tutor-Verified Answer
Answer
The sum is
or
.
Solution
Calculate or simplify the expression
.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Convert the expressions:
- step2: Evaluate the power:
- step3: Reduce fractions to a common denominator:
- step4: Multiply the numbers:
- step5: Transform the expression:
- step6: Multiply the numbers:
- step7: Add the numbers:
- step8: Reduce the fraction:
The sum ofand is or .
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Extra Insights
To add mixed numbers like
and
, first convert each to an improper fraction. For
, multiply 3 by 6 and add 5 to get
. For
, multiply 4 by 6 and add 3 to get
. Now, add the two fractions:
So,
.
Ever try baking? Understanding proportions in baking can really up your game! Just like adding fractions ensures the perfect blend of flavors, keeping your ingredient ratios right can mean the difference between a flat cake and a fluffy masterpiece! Next time you’re experimenting, remember to measure those fractions just right!
Also, if you’re diving deeper into the world of fractions, consider checking out books on math techniques or even fun guides for kids that elucidate these concepts with colorful illustrations! They can help demystify fractions while adding a pinch of creativity to learning!