Step by step
The question
Question: with the scale 1 : 50, how long is 6 cm on the drawing for real?
drawing → real
The scale 1 : 50 means: 1 cm on the drawing is 50 cm for real.
Everything is 50 times bigger.
1 cm → 50 cm
1 Multiply both sides
On the drawing we have 6 cm.
That is 6 times 1 cm.
So the real length is 6 times 50 cm too.
6 cm → 50 × 6 cm
We multiply both sides by the same number, 6.
× 6 on both sides
50 times 6 is 300.
So the real length is 300 cm.
6 cm → 300 cm
2 Change the unit
300 cm is a big number.
100 cm make 1 m, so we divide by 100.
100 cm = 1 m
300 divided by 100 is 3.
So it is 3 m.
300 cm = 3 m
3 Check
Let's check: go back.
300 divided by 50 should give the drawing length, 6.
300 ÷ 50 = 6
We get it again.
So 3 m is right!
Let's look back.
First: multiply both sides.
Then: change the unit.
Last: check.
Answer
300 cm = 3 m