Question

arav spent 1 3/4 hours in studies and 2 1/2 hours in playing cricket. how much time did he spent at all ??

Answer 1

To find the answer we need to add these fractions
= 7/4 + 5/2
= (7+10)/4
= 17/4
= 4 1/4

Answer 2

`\boxed{4 (1)/(4) \: \: hours}`

Explanation:

Time spent in studies =
`1 (3)/(4)`

Time spent in playing cricket =
`2 (1)/(2)`

Now, let's find the hours that he spent at all:

`\mathsf {1 (3)/(4) + 2 (1)/(2) }`

Convert mixed fraction into improper fraction

`\mathsf{ = (7)/(4) + (5)/(2) }`

Take the LCM

`\mathsf{ = (7 + 5 * 2)/(4) }`

Multiply the numbers

`\mathsf{ = (7 + 10)/(4) }`

Add the numbers

`\mathsf{ = (17)/(4) }`

Convert the improper fraction into mixed fraction

`\mathsf{ = 4 (1)/(4) }` hours

Hope I helped!

Best regards!