Saheed sawed a piece of wood 4/5 meters long from a piece 2 1/2 meters long. How much wood was left over?
9+5÷10
=14÷10
=5+14÷10
=1 7/10
I don't know how to do this one , please can you help me
Ans=1 7/10
2 1/2 = 2 + 1 / 2 = 2 + 0.5 =
2.5 = 25 / 10
4 / 5 = 2 • 4 / 2 • 5 = 8 / 10
2 1/2 - 4 / 5 = 25 / 10 - 8 / 10 =
17 / 10 = 10 / 10 + 7 / 10 =
1 + 7 / 10 = 1 7/10
To find out how much wood was left over, we need to subtract the length of the cut piece from the original length of the wood.
Given:
- Original length of the wood = 2 1/2 meters
- Length of the cut piece = 4/5 meters
To subtract fractions, we need to have a common denominator. The denominators in this case are 2 and 5. So, let's convert the mixed number to an improper fraction:
Original Length of the wood = 2 1/2 meters
= 2 + 1/2
= 4/2 + 1/2
= 5/2 meters
Now, we can subtract the length of the cut piece from the original length:
Wood left over = Original length - Length of the cut piece
= (5/2) meters - (4/5) meters
To subtract fractions, we need them to have the same denominator. The least common multiple (LCM) of 2 and 5 is 10, so let's convert the fractions:
Wood left over = (5/2) meters - (4/5) meters
= (5/2) * (5/5) meters - (4/5) meters
= (25/10) meters - (4/5) meters
Now, we can subtract the numerators:
Wood left over = (25/10) meters - (4/5) meters
= (25 - 8)/10 meters
= 17/10 meters
So, the amount of wood left over is 17/10 meters or 1 7/10 meters.