Answer:
1. [tex]\frac{3}{2}[/tex] or [tex]1\frac{1}{2}[/tex]
2. [tex]\frac{8}{21}[/tex]
3. [tex]\frac{3}{11}[/tex]
4. [tex]\frac{7}{5}[/tex] or [tex]1\frac{2}{5}[/tex]
5. [tex]\frac{10}{9}[/tex] or [tex]1\frac{1}{9}[/tex]
6. [tex]\frac{8}{11}[/tex]
7. [tex]\frac{112}{75}[/tex] or [tex]1\frac{37}{75}[/tex]
8. [tex]\frac{28}{15}[/tex] or [tex]1\frac{13}{15}[/tex]
9. [tex]\frac{72}{7}[/tex] or [tex]10\frac{2}{7}[/tex]
10. [tex]\frac{7}{10}[/tex]
Step-by-step explanation of dividing fractions:
First, get the reciprocal of the divisor (2nd fraction). A reciprocal is a multiplicative inverse of a number.
Example: The reciprocal of [tex]\frac{4}{9}[/tex] is [tex]\frac{9}{4}[/tex]. You just need to exchange the places of the numerator and the denominator.
Second, multiply the dividend (1st fraction) and the reciprocal of the divisor.
Example for no. 1:
[tex]\frac{4}{6}[/tex] × [tex]\frac{9}{4}[/tex] = [tex]\frac{4x9}{6x4}[/tex] = [tex]\frac{36}{24}[/tex]
Third, simplify.
[tex]\frac{36}{24}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
p.s. there is a shortcut you can use in simplifying:
[tex]\frac{4}{6}[/tex] × [tex]\frac{9}{4}[/tex] , you can cancel 4 and 4, and 6 and 9.
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{3}{2}[/tex]
If there is a mixed fraction in the equation, convert them into improper fractions. To do that, multiply the whole number to the divisor and add it to the dividend. The answer there would be the numerator while the denominator stays the same.
Example for no. 9:
[tex]4\frac{4}{7}[/tex], the whole number is 4, the dividend is 4 and the divisor is 7.
(4 × 7) + 4 =
28 + 4 = 32
[tex]4\frac{4}{7}[/tex] = [tex]\frac{32}{7}[/tex]
For converting improper fractions to mixed fractions, divide the improper fraction. The whole number will be the quotient, the remainder will be the numerator, and the denominator remains the same.
Sorry to add this in but if you are having trouble understanding my explanation, it really would be helpful if you search and watch on youtube because they are really explaining and demonstrating how to divide fractions.
It's ok to not be good at Math. You are still learning and you can ask help from other people. Don't get so much stressed just because of Math. Remember that you need to rest too ok? I hope you become successful <3<3<3
