[tex]\boxed{ \ 90 \ is \ \frac{1}{10} \ of \ 900 \ }[/tex]
Further explanation
The question can be rewritten to [tex]\boxed{ \ 90 \ is \ \frac{1}{10} \ of \ N \ }[/tex]
This is a question about equations with one variable. We have to solve this calculation to obtain the value of N. Our task is to isolate the variable N alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposite side.
Let's arrange it into an equation, i.e., [tex]\boxed{ \ 90 \ = \ \frac{1}{10} \times \ N \ }[/tex]
Turn this equation over so that the position of variable N is on the left side.
[tex]\boxed{ \ N \times \frac{1}{10} = 90 \ }[/tex]
Both sides are multiplied by 10 to isolate N on the left side.
[tex]\boxed{ \ N \times \frac{1}{10} \times 10 = 90 \times 10 \ }[/tex]
N = 900
Therefore, we have determined the number that was asked.
Hence, [tex]\boxed{ \ 90 \ is \ \frac{1}{10} \ of \ 900 \ }[/tex]
Note:
The important thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:
- Adding,
- Subtracting,
- Multiplying, and/or
- Dividing both sides of the equation with a similar number.
And, last but not least, the commutative property of multiplication [tex]\boxed{ \ a \times b = b \times a \ }[/tex]
Learn more
- How do I solve [tex]\frac{2}{7}m - \frac{1}{7} = \frac{3}{14} \ ?[/tex] https://brainly.com/question/1682776
- Learn more about a single variable linear equation that allows no solution, allows one solution, and has infinitely many solutions brainly.com/question/2595790
- Investigating the stages of solving a word problem about one variable linear equations brainly.com/question/2038876
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