✏️FRACTIONS:
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A. Express the following improper fractions into mixed numbers.
How to convert: "Divide the numerator by the denominator, the quotient will be the whole number, the remainder will be the new numerator, and the denominator stays the same."
- #1: [tex] \large \frac{15}{8} = \tt\green{1 \frac{7}{8}} [/tex]
- #2: [tex] \large \frac{29}{9} = \tt\green{3 \frac{2}{9}} [/tex]
- #3: [tex] \large \frac{27}{15} = 1 \frac{12}{15} = \tt\green{1 \frac{4}{5}} [/tex]
B. Express the following mixed numbers into improper fractions.
How to convert: "Multiply the denominator to the whole number then add the product to the numerator."
- #1: [tex] \large 5 \frac{3}{7} = \frac{35 \, + \, 3}{7} = \tt\green{ \frac{38}{7}} [/tex]
- #2: [tex] \large 7 \frac{8}{9} = \frac{63 \, + \, 8}{9} = \tt\green{ \frac{71}{9}} [/tex]
- #3: [tex] \large 6 \frac{5}{11} = \frac{66 \, + \, 5}{11} = \tt\green{ \frac{71}{11}} [/tex]
C. Multiply the following fractions and mixed numbers.
- #1: [tex] \large \frac{4}{10} \times \frac{1}{2} = \frac{4}{20} = \tt\green{ \frac{1}{5}} [/tex]
- #2: [tex] \large \frac{8}{16} \times 8 = \frac{1}{2} \times 8 = \frac{8}{2} = \tt\green{4} [/tex]
- #3: [tex] \large 8 \times 6 \frac{2}{7} = 8 \times \frac{44}{7} = \frac{352}{7} = \tt\green{50 \frac{2}{7}} [/tex]
- #4: [tex] \large 4 \frac{3}{2} \times \frac{1}{4} = \frac{11}{2} \times \frac{1}{4} = \frac{11}{8} = \tt\green{ 1\frac{3}{8}} [/tex]
- #5: [tex] \large 2 \frac{2}{5} \times 3 \frac{1}{8} = \frac{12}{5} \times \frac{25}{8} = \frac{3}{1} \times \frac{5}{2} = \frac{15}{2} = \tt\green{ 7 \frac{1}{2}} [/tex]
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