What is the answer to 13/4 - 5/8=
1 answer:
In order to subtract one fraction from another, we need to make the denominator the same in both fractions. The lowest common denominator is 8, because 4 is a factor of 8.
In order to make the denominators the same, multiply both the numerator and denominator of 13/4 by two. This keeps the value of the fraction the same, but will equate the denominators.
At this point, we can simply subtract 5/8 from 26/8.
21/8 cannot be simplified, so it is the answer.
In order to make the denominators the same, multiply both the numerator and denominator of 13/4 by two. This keeps the value of the fraction the same, but will equate the denominators.
At this point, we can simply subtract 5/8 from 26/8.
21/8 cannot be simplified, so it is the answer.
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For this case we propose a system of equations:
x: Let the variable representing the age of the first child of the Smiths
y: Let the variable representing the age of the second child of the Smiths
According to the data of the statement we have to:
From the first equation we have to:
We substitute in the second equation:
We find the solutions by factoring:
We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.
Thus, we have that the factorized equation is:
Thus, the solutions are:
So, we can take any of the solutions:
With
Then
Therefore, the ages of the children are 11 and 12 respectively.
Answer:
The ages of the children are 11 and 12 respectively.