The solution of ⁵/₆ n = 10 is 12
Further explanation
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem !
Given:
[tex]\frac{5}{6}n = 10[/tex]
Solution:
To solve this problem , we will multiply both sides by ⁶/₅ :
[tex]\frac{6}{5} \times \frac{5}{6}n = \frac{6}{5} \times 10[/tex]
[tex]\frac{6 \times 5}{5 \times 6}n = \frac{6}{5} \times 10[/tex]
[tex]\frac{30}{30} n = \frac{6 \times 10}{5}[/tex]
[tex]n = \frac{60}{5}[/tex]
[tex]n = 12[/tex]
[tex]\texttt{ }[/tex]
Conclusion:
The solution of ⁵/₆ n = 10 is 12
[tex]\texttt{ }[/tex]
Another Example:
[tex]\frac{5}{6a} = 10[/tex]
[tex]\frac{6}{5} \times \frac{5}{6a} = \frac{6}{5} \times 10[/tex]
[tex]\frac{30}{30a} = \frac{60}{5}[/tex]
[tex]\frac{1}{a} = 12[/tex]
[tex]a = \frac{1}{12}[/tex]
[tex]\texttt{ }[/tex]
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Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces
