Before it started to rain, Bobby cut 1/8
of the grass in his yard and Danny cut 1/5
of the grass in the yard. Both boys were disappointed because they were not able to cut the entire yard.
Which statement is TRUE?
Responses
A Together the boys didn't even cut half the yard.Together the boys didn't even cut half the yard.
B The boys were able to cut more than half the yard.The boys were able to cut more than half the yard.
C The boys cut almost three-fourths of the yard.The boys cut almost three-fourths of the yard.
D Together the boys cut almost the entire yard.
A Together the boys didn't even cut half the yard.Together the boys didn't even cut half the yard.
To find the total amount of grass cut by both Bobby and Danny, we need to add their individual fractions together:
1/8 + 1/5
To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 5 is 40.
By multiplying the numerator and denominator of 1/8 by 5, we get 5/40.
By multiplying the numerator and denominator of 1/5 by 8, we get 8/40.
Now we can add the fractions:
5/40 + 8/40 = 13/40
So, together Bobby and Danny cut a total of 13/40 of the yard.
Since 13/40 is less than half (20/40), the statement "Together the boys didn't even cut half the yard" is true.
Therefore, the correct statement is A.