2p-1/2 + 1/4 = p+1/6
Answers
Answer:
2
−
1
⋅
1
2
+
1
4
=
+
1
6
2p{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{1}{2}}}+\frac{1}{4}=p+\frac{1}{6}
2p−1⋅21+41=p+61
2
−
1
2
+
1
4
=
+
1
6
2p{\color{#c92786}{-\frac{1}{2}}}+\frac{1}{4}=p+\frac{1}{6}
2p−21+41=p+61
2
Add the numbers
2
−
1
2
+
1
4
=
+
1
6
2p{\color{#c92786}{-\frac{1}{2}}}+{\color{#c92786}{\frac{1}{4}}}=p+\frac{1}{6}
2p−21+41=p+61
2
−
1
4
=
+
1
6
2p{\color{#c92786}{-\frac{1}{4}}}=p+\frac{1}{6}
2p−41=p+61
3
Add
1
4
\frac{1}{4}
41
to both sides of the equation
2
−
1
4
=
+
1
6
2p-\frac{1}{4}=p+\frac{1}{6}
2p−41=p+61
2
−
1
4
+
1
4
=
+
1
6
+
1
4
2p-\frac{1}{4}+{\color{#c92786}{\frac{1}{4}}}=p+\frac{1}{6}+{\color{#c92786}{\frac{1}{4}}}
2p−41+41=p+61+41
4
Simplify
Add the numbers
2
−
1
4
+
1
4
=
+
1
6
+
1
4
2p{\color{#c92786}{-\frac{1}{4}}}+{\color{#c92786}{\frac{1}{4}}}=p+\frac{1}{6}+\frac{1}{4}
2p−41+41=p+61+41
2
=
+
1
6
+
1
4
2p=p+\frac{1}{6}+\frac{1}{4}
2p=p+61+41
Add the numbers
2
=
+
5
1
2
2p=p+\frac{5}{12}
2p=p+125
5
Subtract
p
p
from both sides of the equation
2
=
+
5
1
2
2p=p+\frac{5}{12}
2p=p+125
2
−
=
+
5
1
2
−
2p{\color{#c92786}{-p}}=p+\frac{5}{12}{\color{#c92786}{-p}}
2p−p=p+125−p
6
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
5
1
2
Answer:
3p=1/6+1/4
3p=5/12
p=5/36