pls answer i will mark you as brainliest
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Answer:
114+25=3320
11
4
+
2
5
=
3
3
20
Solution with Steps
114+25=?
11
4
+
2
5
=
?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(11/4, 2/5) = 20
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(114×55)+(25×44)=?
(
11
4
×
5
5
)
+
(
2
5
×
4
4
)
=
?
Complete the multiplication and the equation becomes
5520+820=?
55
20
+
8
20
=
?
The two fractions now have like denominators so you can add the numerators.
Then:
55+820=6320
55
+
8
20
=
63
20
This fraction cannot be reduced.
The fraction
6320
63
20
is the same as
63÷20
63
÷
20
Convert to a mixed number using
long division for 63 ÷ 20 = 3R3, so
6320=3320
63
20
=
3
3
20
Therefore:
114+25=3320
11
4
+
2
5
=
3
3
20
Solution by Formulas
Apply the fractions formula for addition, to
114+25
11
4
+
2
5
and solve
(11×5)+(2×4)4×5
(
11
×
5
)
+
(
2
×
4
)
4
×
5
=55+820
=
55
+
8
20
=6320
=
63
20
Convert to a mixed number using
long division for 63 ÷ 20 = 3R3, so
6320=3320
63
20
=
3
3
20
Therefore:
114+25=3320
11
4
+
2
5
=
3
3
20
114+25=3320
11
4
+
2
5
=
3
3
20
Solution with Steps
114+25=?
11
4
+
2
5
=
?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(11/4, 2/5) = 20
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(114×55)+(25×44)=?
(
11
4
×
5
5
)
+
(
2
5
×
4
4
)
=
?
Complete the multiplication and the equation becomes
5520+820=?
55
20
+
8
20
=
?
The two fractions now have like denominators so you can add the numerators.
Then:
55+820=6320
55
+
8
20
=
63
20
This fraction cannot be reduced.
The fraction
6320
63
20
is the same as
63÷20
63
÷
20
Convert to a mixed number using
long division for 63 ÷ 20 = 3R3, so
6320=3320
63
20
=
3
3
20
Therefore:
114+25=3320
11
4
+
2
5
=
3
3
20
Solution by Formulas
Apply the fractions formula for addition, to
114+25
11
4
+
2
5
and solve
(11×5)+(2×4)4×5
(
11
×
5
)
+
(
2
×
4
)
4
×
5
=55+820
=
55
+
8
20
=6320
=
63
20
Convert to a mixed number using
long division for 63 ÷ 20 = 3R3, so
6320=3320
63
20
=
3
3
20
Therefore:
114+25=3320
11
4
+
2
5
=
3
3
20
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