A piece of cable which is 3/5 m long is to be cut into pieces 1/20 m long. How many pieces will there be?
60 pieces
(3/5) / (1/20) = 12 pieces
3 / 5 = 4 ∙ 3 / 4 ∙ 5 = 12 / 20
( 3 / 5 ) / ( 1 / 20 ) = ( 12 / 20 ) / ( 1 / 20 ) = 12
12 pieces.
Check result:
3 / 5 m = 6 / 10 m = 0.6 m
1 / 20 m = 0.05 m
12 ∙ 0.05 m = 0.6 m
well, 3/5 = 12/20, so ...
To find out how many pieces can be cut from the cable, we divide the total length of the cable by the length of each piece.
Total length of the cable = 3/5 m
Length of each piece = 1/20 m
Dividing the total length of the cable by the length of each piece:
(3/5 m) ÷ (1/20 m)
To divide fractions, we invert the second fraction and multiply:
(3/5 m) × (20/1 m)
Multiplying the numerators and denominators:
(3 × 20) / (5 × 1) = 60/5
Simplifying the fraction:
60/5 = 12
Therefore, there will be 12 pieces that can be cut from the cable.