Answer:
[tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
When given the following problem:
[tex]7\frac{1}{7}-\frac{9}{14}[/tex]
Convert the first mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction, the number under the fraction bar. Then add the result to the numerator.
[tex]\frac{50}{7}-\frac{9}{14}[/tex]
To perform this operation, one must ensure that both denominators have the same value. Multiply the numerator and denominator for the first fraction by (2), so that the denominators of both fractions is (14),
[tex]\frac{100}{14}-\frac{9}{14}[/tex]
Perform the operation, subtract one numerator from the other, leave the denominators the same,
[tex]\frac{91}{14}[/tex]
Simplify, divide the numerator by (14) (the denominator), write the whole part as the "number" part of the mixed number. Then write the remainder on top of the fraction bar.
[tex]6\frac{7}{14}[/tex]
Reduce, divide the numerator and denominator by a common fraction,
[tex]6\frac{1}{2}[/tex]
