Answer:
[tex](a)[/tex] [tex]\frac{30}{5} = 6[/tex] and [tex]\frac{60}{10} = 6[/tex]
[tex](b)[/tex] [tex]\frac{24}{3} = 8[/tex] and [tex]\frac{96}{12} = 8[/tex]
[tex](c)[/tex] [tex]\frac{112}{8} = 14[/tex] and [tex]\frac{28}{2} = 14[/tex]
Step-by-step explanation:
Given
[tex](a)\ 15 * \frac{2}{5} = 6[/tex]
[tex](b)\ 6 * \frac{4}{3} = 8[/tex]
[tex](c)\ 16 * \frac{7}{8} = 14[/tex]
Required
Write 2 division equations
[tex](a)\ 15 * \frac{2}{5} = 6[/tex]
Express 15 as 15/1
[tex]\frac{15}{1} * \frac{2}{5} = 6[/tex]
Multiply numerator and denominator
[tex]\frac{30}{5} = 6[/tex] --- This is (1)
Multiply the fraction by a common term (e.g. 2)
So, we have:
[tex]\frac{30*2}{5*2} = 6[/tex]
[tex]\frac{60}{10} = 6[/tex] ---- (2)
[tex](b)\ 6 * \frac{4}{3} = 8[/tex]
Express 6 as 6/1
[tex]\frac{6}{1} * \frac{4}{3} = 8[/tex]
Multiply numerator and denominator
[tex]\frac{24}{3} = 8[/tex] --- This is (1)
Multiply the fraction by a common term (e.g. 4)
So, we have:
[tex]\frac{24*4}{3*4} = 8[/tex]
[tex]\frac{96}{12} = 8[/tex] ---- (2)
[tex](c)\ 16 * \frac{7}{8} = 14[/tex]
Express 16 as 16/1
[tex]\frac{16}{1} * \frac{7}{8} = 14[/tex]
Multiply
[tex]\frac{112}{8} = 14[/tex] ---- This is (1)
Divide the fraction by a common term (e.g. 4)
[tex]\frac{112/4}{8/4} = 14[/tex]
[tex]\frac{28}{2} = 14[/tex]
