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2
+
3
4
2+\frac{3}{4}
2
+
4
3
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Math Problems
Algebra 1
Evaluate integers raised to rational exponents
Full solution
Q.
2
+
3
4
2+\frac{3}{4}
2
+
4
3
Add Whole Number and Fraction:
Add the whole number to the fraction.
2
+
(
3
4
)
2 + \left(\frac{3}{4}\right)
2
+
(
4
3
)
Convert Whole Number to Fraction:
Since
2
2
2
is a whole number, we can write it as a fraction with a denominator of
4
4
4
to combine it with
3
4
\frac{3}{4}
4
3
.
\newline
2
=
8
4
2 = \frac{8}{4}
2
=
4
8
Add Fractions:
Now add the two fractions.
(
8
4
)
+
(
3
4
)
=
11
4
(\frac{8}{4}) + (\frac{3}{4}) = \frac{11}{4}
(
4
8
)
+
(
4
3
)
=
4
11
Convert Improper Fraction to Mixed Number:
Convert the improper fraction to a mixed number if needed.
11
4
=
2
3
4
\frac{11}{4} = 2 \frac{3}{4}
4
11
=
2
4
3
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