Question

Write two division equations for each multiplication equation. 15⋅25=6 15 ⋅ 2 5 = 6 6⋅43=8 6 ⋅ 4 3 = 8 16⋅78=14

Answer 1

Answer:

$(a)$ $\frac{30}{5} = 6$ and $\frac{60}{10} = 6$

$(b)$ $\frac{24}{3} = 8$ and $\frac{96}{12} = 8$

$(c)$ $\frac{112}{8} = 14$ and $\frac{28}{2} = 14$

Step-by-step explanation:

Given

$(a)\ 15 * \frac{2}{5} = 6$

$(b)\ 6 * \frac{4}{3} = 8$

$(c)\ 16 * \frac{7}{8} = 14$

Required

Write 2 division equations

$(a)\ 15 * \frac{2}{5} = 6$

Express 15 as 15/1

$\frac{15}{1} * \frac{2}{5} = 6$

Multiply numerator and denominator

$\frac{30}{5} = 6$ --- This is (1)

Multiply the fraction by a common term (e.g. 2)

So, we have:

$\frac{30*2}{5*2} = 6$

$\frac{60}{10} = 6$ ---- (2)

$(b)\ 6 * \frac{4}{3} = 8$

Express 6 as 6/1

$\frac{6}{1} * \frac{4}{3} = 8$

Multiply numerator and denominator

$\frac{24}{3} = 8$ --- This is (1)

Multiply the fraction by a common term (e.g. 4)

So, we have:

$\frac{24*4}{3*4} = 8$

$\frac{96}{12} = 8$ ---- (2)

$(c)\ 16 * \frac{7}{8} = 14$

Express 16 as 16/1

$\frac{16}{1} * \frac{7}{8} = 14$

Multiply

$\frac{112}{8} = 14$ ---- This is (1)

Divide the fraction by a common term (e.g. 4)

$\frac{112/4}{8/4} = 14$

$\frac{28}{2} = 14$