Question

if a/4=b/7 what is the value of a/b? Show work

Answer 1

@phi

Answer 2

a/4 = b/7
first multiply by 1/b on both sides, get
a/4 * 1/b = b/7 * 1/b
1/4 * a/b = 1/7

then multiply both sides by 4, what do you get ......

Answer 3

1*4a/b=4/7

Answer 4

@RadEn

Answer 5

\[ \frac{a}{4} = \frac{b}{7} \]
if you multiply by 1/b like RadEn did you do this
\[ \frac{1}{b} \cdot \frac{a}{4} = \frac{1}{b} \cdot\frac{b}{7} \]
on the right side of the =, you have a "b" "up top" and a "b" down below in the fraction
that means you have b/b (b divided by itself). You get 1.

in other words you get
\[ \frac{1}{b} \cdot \frac{a}{4} = \frac{1}{7} \]
now multiply both sides by 4:
\[ 4 \cdot \frac{1}{b} \cdot \frac{a}{4} = 4 \cdot \frac{1}{7} \]

Answer 6

notice on the left side you have a 4 up top and a 4 down below (4 divided by 4)
what does 4/4 turn into ?

Answer 7

I got the answer. its a/b=4/7 right?

Answer 8

yes

Answer 9

Okay thanks

Answer 10

yw