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: Reduce fractions to a common denominator:
- step3: Multiply the numbers:
- step4: Transform the expression:
- step5: Multiply the numbers:
- step6: Add the numbers:
- step7: Reduce the fraction:
The sum ofand is or in decimal form.
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Bonus Knowledge
To solve
, first convert the mixed numbers to improper fractions.
The first number becomes
, so it’s
.
The second number becomes , so it’s
.
The second number becomes
Next, find a common denominator for these fractions, which is 40.
Convert
to have this common denominator:
Now add:
Simplify
to get:
This gives us:
Thus,
or
when written in mixed number form.