Answer:
0.32 or 8/25
Explanation:
2⅐/15a = ⁵/₁₄/0.8 Multiply both sides by 14
30/15a = 5/0.8 Invert each side
15a/30 = 0.8/5 Multiply each side by 30
15a = 0.8/5 × 30 Divide each side by 15
a = 0.8/5 × 30/15
a = 0.16 × 2
a = 0.32
If you want the answer as a fraction
a = 32/100 = 8/25
Following are the solution to the given expression:
Given:
[tex]2 \frac{1}{7} :(15 a)= \frac{5}{14} :(0.8)[/tex]
To find:
a=?
Solution:
[tex]\to 2 \frac{1}{7} :(15 a)= \frac{5}{14} :(0.8)\\\\\to \frac{\frac{15}{7}}{(15 a)}= \frac{\frac{5}{14}}{(0.8)}\\\\\to \frac{15}{7}\times 0.8 = \frac{5}{14} \times 15 a\\\\\to \frac{15}{7} \times 0.8 \times \frac{14}{5}= 15 a\\\\\to \frac{3}{1} \times 0.8 \times \frac{2}{1}= 15 a\\\\\to 6 \times 0.8 = 15 a\\\\\to a =\frac{6 \times 0.8}{ 15}\\\\\to a =\frac{2 \times 0.8}{ 5}\\\\\to a =\frac{1.6}{ 5}\\\\\to a =0.32\\\\[/tex]
The final value of a is "0.32"
Learn more:
brainly.com/question/21630187
