Explanation:
✏️FRACTIONS:
==============================
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: \large \frac{15}{8} = \tt\green{1 \frac{7}{8}}
8
15
=1
8
7
#2: \large \frac{29}{9} = \tt\green{3 \frac{2}{9}}
9
29
=3
9
2
#3: \large \frac{27}{15} = 1 \frac{12}{15} = \tt\green{1 \frac{4}{5}}
15
27
=1
15
12
=1
5
4
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: \large 5 \frac{3}{7} = \frac{35 \, + \, 3}{7} = \tt\green{ \frac{38}{7}}5
7
3
=
7
35+3
=
7
38
#2: \large 7 \frac{8}{9} = \frac{63 \, + \, 8}{9} = \tt\green{ \frac{71}{9}}7
9
8
=
9
63+8
=
9
71
#3: \large 6 \frac{5}{11} = \frac{66 \, + \, 5}{11} = \tt\green{ \frac{71}{11}}6
11
5
=
11
66+5
=
11
71
C. Multiply the following fractions and mixed numbers.
#1: \large \frac{4}{10} \times \frac{1}{2} = \frac{4}{20} = \tt\green{ \frac{1}{5}}
10
4
×
2
1
=
20
4
=
5
1
#2: \large \frac{8}{16} \times 8 = \frac{1}{2} \times 8 = \frac{8}{2} = \tt\green{4}
16
8
×8=
2
1
×8=
2
8
=4
#3: \large 8 \times 6 \frac{2}{7} = 8 \times \frac{44}{7} = \frac{352}{7} = \tt\green{50 \frac{2}{7}}8×6
7
2
=8×
7
44
=
7
352
=50
7
2
#4: \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}}4
2
3
×
4
1
=
2
11
×
4
1
=
8
11
=1
8
3
#5: \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}}2
5
2
×3
8
1
=
5
12
×
8
25
=
1
3
×
2
5
=
2
15
=7
2
1
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