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Sergio [31]
3 years ago
10

4/f + 11 =29 what does f =

Mathematics
2 answers:
Delvig [45]3 years ago
7 0
\frac{4}{f} + 11 = 29

First, subtract '11' from each side.
\frac{4}{f} = 29 - 11

Second, subtract '29 - 11' to get '18'.
\frac{4}{f} = 18

Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
4 = 18f

Fourth, once again, we need to get 'f' alone. Divide both sides by 18. 
\frac{4}{18} = f

Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

Sixth, divide the numerator and denominator by the GCF (2).
4 \div 2 = 2  \\  18 \div 2 = 9

Seventh, we can now rewrite our fraction in simplest form and switch sides.
f =  \frac{2}{9}

Answer in fraction form: \fbox {2/9}
Answer in decimal form: \fbox {0.2222}

7nadin3 [17]3 years ago
6 0
Since you are finding f, isolate the variable, move the unnecessary numbers to one side, and your answer would be f=2/9.
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