Question

Help please due tonight 50 points + brainliest​

Answer 1

Answer:

7. -37/36 or -1 1/36

8. -3/10

9. 1/24

10. -118/21 or -5 13/21

11. 97/12 or 8 1/12

12. 49/8 or 6 1/8

Step-by-step explanation:

To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.

7. $-\frac{1}{4}-\frac{7}{9}$  Find a common denominator

$=-\frac{1*9}{4*9}-\frac{7*4}{9*4}$

$=-\frac{9}{36}-\frac{28}{36}$

$=\frac{-9-28}{36}$   Combine the fractions

$=\frac{-37}{36}$    Answer. Already in lowest terms.

$=-1\frac{1}{36}$ Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)

8. $\frac{3}{5}-\frac{9}{10}$ Find a common denominator

$=\frac{3*2}{5*2}-\frac{9}{10}$

$=\frac{6}{10}-\frac{9}{10}$

$=\frac{6-9}{10}$ Combine the fractions

$=\frac{-3}{10}$ Answer in simplest form.

9. $\frac{5}{8}-\frac{7}{12}$ Find common denominator

$=\frac{5*3}{8*3}-\frac{7*2}{12*2}$

$=\frac{15}{24}-\frac{14}{24}$

$=\frac{15-14}{24}$ Combine the fractions

$=\frac{1}{24}$ Answer in simplest form

10. $-1\frac{1}{3}-4\frac{2}{7}$ Translate to improper fraction

$=-\frac{4}{3}-\frac{30}{7}$ Multiplied each whole number with base, added to numerator

$=-\frac{28}{21}-\frac{90}{21}$ Found common denominator

$=\frac{-28-90}{21}$ Combined fractions

$=\frac{-118}{21}$ Answer in improper form

$=-5\frac{13}{21}$ Answer as a mixed number

11. $5\frac{5}{6}-(-2\frac{1}{4})$ Convert to improper fraction

$\frac{35}{6}-(-\frac{9}{4})$ Two minuses make a plus

$=\frac{35}{6}+\frac{9}{4}$ Find common denominator

$=\frac{35*2}{6*2}+\frac{9*3}{4*3}$

$=\frac{70}{12}+\frac{27}{12}$

$=\frac{70+27}{12}$ Combined fractions

$=\frac{97}{12}$ Answer as improper fraction

$=8\frac{1}{12}$ Answer as mixed fraction

12. $12\frac{1}{2}-6\frac{3}{8}$ Convert to improper fraction

$\frac{25}{2}-\frac{51}{8}$

$\frac{25*4}{2*4}-\frac{51}{8}$ Find common denominator

$\frac{100}{8}-\frac{51}{8}$

$\frac{100-51}{8}$ Combined fractions

$\frac{49}{8}$ Answer as improper fraction

$8\frac{1}{8}$ Answer as mixed number