Answer :

[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

  1. How do I solve [tex]\frac{2}{7}m - \frac{1}{7} = \frac{3}{14} \ ?[/tex] https://brainly.com/question/1682776
  2. Learn more about a single variable linear equation that allows no solution, allows one solution, and has infinitely many solutions brainly.com/question/2595790  
  3. Investigating the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

Keywords: 90 is 1/10 of, solve, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation

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Answer:

900

Step-by-step explanation:

1/10 multiplied by 10 is 1

so you multiply 90 by 10 which gives you 900

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