[tex]\sf\large\bold{Answer:}[/tex]
1. 10
2. 56
3. 12
4. 24
5. 40
[tex]\sf\large\bold{Explanation:}[/tex]
We can find the LCD of a fraction by getting the multiples of the denominators of it or there is another way we can find it.
Way #1:
Fractions we were going to use: 1/2, 2/5
Multiples of 2: 2, 4, 6, 8, 10
Multiples of 5: 5, 10
- The underlined digit is the least common denominator (LCD) of both 1/2 and 2/5.
Way #2:
In this way, we will try to multiply a pair of numbers that is in fraction form but their numerator and denominator are the same. Try and try until their denominators are the same.
Fractions we were going to use: 2/8, 8/7
[tex]\frac{2}{8} \times \frac{2}{2} = \frac{4}{16} [/tex]
[tex]\frac{2}{8} \times \frac{3}{3} = \frac{6}{24} [/tex]
[tex]\frac{2}{8} \times \frac{4}{4} = \frac{8}{32} [/tex]
[tex]\frac{2}{8} \times \frac{5}{5} = \frac{10}{40} [/tex]
[tex]\frac{2}{8} \times \frac{6}{6} = \frac{12}{48} [/tex]
[tex]\frac{2}{8} \times \frac{7}{7} = \frac{14}{56} [/tex]
[tex]\frac{8}{7} \times \frac{2}{2} = \frac{16}{14} [/tex]
[tex]\frac{8}{7} \times \frac{3}{3} = \frac{24}{21} [/tex]
[tex]\frac{8}{7} \times \frac{4}{4} = \frac{32}{28} [/tex]
[tex]\frac{8}{7} \times \frac{5}{5} = \frac{40}{35} [/tex]
[tex]\frac{8}{7} \times \frac{6}{6} = \frac{48}{42} [/tex]
[tex]\frac{8}{7} \times \frac{7}{7} = \frac{56}{49} [/tex]
[tex]\frac{8}{7} \times \frac{8}{8} = \frac{64}{56} [/tex]
So now we know that the LCD of 2/8 and 8/7 is 56.
[tex]\frac{2}{8} \times \frac{7}{7} = \frac{14}{56} [/tex]
[tex]\frac{8}{7} \times \frac{8}{8} = \frac{64}{56} [/tex]
I hope this answer helps you.
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