Question

Hi can anyone help me solve the following problems with steps. Thank you! For 12 points. Adding and subtracting Fraction:

Answer 1

Answer:

Q1 = $11\frac{2}{9}$

Q2 = $\frac{19}{24}$

Q3 = $1\frac{3}{7}$

Q4 = $2\frac{11}{12}$

Q5 = $\frac{11}{20}$ of the pizza is left

Step-by-step explanation:

Q1.  $4\frac{4}{6} +7\frac{5}{9}$

Find Common Denominator

6 = 18

9 = 18

$4\frac{12}{18} +7\frac{10}{18}$

Then just add the whole numbers and numerators

$11\frac{22}{18}$ or $11\frac{4}{18}$

Simplify

$11\frac{2}{9}$

Q2. $2\frac{5}{8} -1\frac{5}{6}$

Find Common Denominator

8 = 24

6 = 24

$2\frac{15}{24} -1\frac{20}{24}$

Subtract by borrowing

$1\frac{39}{24} - 1\frac{20}{24}$

Then Subtract

$\frac{19}{24}$

Q3. $4-2\frac{4}{7}$

Convert

$3\frac{7}{7} -2\frac{4}{7}$

Then subtract

$1\frac{3}{7}$

Q4. $6\frac{1}{4} -3\frac{1}{3}$

Find Common Denominator

4 = 12

3 = 12

$6\frac{3}{12} -3\frac{4}{12}$

Borrow

$5\frac{15}{12} -3\frac{4}{12}$

Then Subtract

$2\frac{11}{12}$

Q5. Maria and Jane bought a whole pizza pie. Marie ate 1/5 of the pie and Jane ate 1/4 of the pie. Write a number sentence to find how much is left of the pie and solve it.

$\frac{1}{5} + \frac{1}{4}$

Find Common Denominator

5 = 20

4 = 20

$\frac{4}{20} +\frac{5}{20}$

Then add, after adding, subtract $\frac{9}{20}$ from the whole of the pizza.

$\frac{20}{20}-\frac{9}{20} = \frac{11}{20}$

Number Sentence:

$\frac{1}{5} + \frac{1}{4}=\frac{4}{20} +\frac{5}{20} = \frac{9}{20} \\= \frac{20}{20} -\frac{9}{20} = \frac{11}{20}$