How do you figure out a related sentence for fractions? (here is the problem) t + 1/8= 3/5
multipy the 1/8 by 5/5 or it is 5/40
Then, mulipy the 3/5 by 8/8 to 24/40
Finally subtract 5/40 from both sides.
Think out why it is done this way.
What do you mean by a "related sentence"?
Just find a common denominator for the fractions and do the algebra.
t + 5/40 = 24/40
t = 19/40
5times 1
To figure out a related sentence for fractions, we need to find a common denominator for the fractions involved in the equation. In this case, the fractions are 1/8 and 3/5.
To find a common denominator, we need to determine the least common multiple (LCM) of the denominators, which is the smallest number divisible by both denominators. In this case, the LCM of 8 and 5 is 40.
We then need to adjust each fraction so that they have the same denominator, which is 40 in this case. We can do this by multiplying the numerator and denominator of each fraction by a factor that results in the desired denominator.
For the fraction 1/8, we multiply both the numerator and denominator by 5 to get 5/40.
For the fraction 3/5, we multiply both the numerator and denominator by 8 to get 24/40.
By doing this, we have transformed the original equation t + 1/8 = 3/5 into the related sentence t + 5/40 = 24/40, where both fractions have the same denominator.
Now, we can solve the equation by subtracting 5/40 from both sides:
t + 5/40 - 5/40 = 24/40 - 5/40
Simplifying, we have:
t = 19/40
Therefore, the solution to the equation t + 1/8 = 3/5 is t = 19/40.