Question

LESSON 2: Equivalent Ratios
Learning Task: Fill each box with the correct number that will make equivalent ratios.
1._______:7 = 24 : 56
2. 8:3=_____: 15
3. 12:______= 15:5
4. 4 : 16 =______:8
5. 27 :_____= 9:15​

Answer 1

Answers are in the attachment

Answer 2

Answer:

1. 3:7=24:56

2.8:3=40:15

3.12:4=15:5

4.4:16=2:8

5.27:45=9:15

Step-by-step explanation:

Two ratios are equivalent if the simple fractions are equal

1. Let us consider the number in blank space is x,

$\frac{x}{7} =\frac{24}{56} \\x=\frac{24}{8} =3$

Thus, final answer 3:7=24:56

2. Let us consider the number in blank space is x,

$\frac{8}{3} =\frac{x}{15} \\x=\frac{8.15}{3} =8.5=40$

Final answer 8:3=40:15

3.Let us consider the number in blank space is x,

$\frac{12}{x} =\frac{15}{5} \\x=\frac{12.5}{15} =\frac{12}{3} =4$

final answe 12:4=15:5

4.Let us consider the number in blank space is x,

$\frac{4}{16} =\frac{x}{8} \\x=\frac{4.8}{16} =2$

final answer 4:16=2:8

5. Let us consider the number in blank space is x,

$\frac{27}{x} =\frac{9}{15} \\x=\frac{27.15}{9} =3.15=45$

final answer 27:45=9:15