A farmer uses 11/18 of his field to grow rice and 3/7 of remaning field for growing tomatoes of the area thus left he uses 1/4 of his to grow spanich and the rest to grow sweet potatoes What fraction of field is used to grow sweet potatoes??
rice: 11/18
tomatoes: 3/7 * 7/18 = 1/6
spinach: 1/4 * 2/9 = 1/18
1 - 11/18 - 3/18 - 1/18 = 3/18
so, 1/6 of the field is yams
we have biggest denominator 18 so we make 18 blocks
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18
now we have nominators 11,3 and 1 and we will take first 11 blocks as 11/18
then take next three blocks as 3/18
then take next one block as 1/18
if we add nominators then these are 15 and we have total 18 blocks so we are using 15 blocks and 3 are left so,
take 3/18 =1/6 is required ans
Round 97.081 to the nearest tenth. please answerr
To find the fraction of the field used to grow sweet potatoes, we need to subtract the fractions used for growing rice, tomatoes, and spinach from 1 (since 1 represents the whole field).
Let's break it down step by step:
1. The farmer uses 11/18 of his field for growing rice.
The remaining fraction of the field is 1 - 11/18.
2. Next, the farmer uses 3/7 of the remaining field for growing tomatoes.
To find the new remaining fraction, we multiply (1 - 11/18) by (1 - 3/7).
Let's calculate this:
(1 - 11/18) * (1 - 3/7) = (7/18) * (4/7) = 28/126 = 14/63.
3. The farmer then uses 1/4 of the remaining fraction for growing spinach.
To find the final remaining fraction, we multiply (14/63) by (1 - 1/4).
Let's calculate this:
(14/63) * (3/4) = 42/252 = 1/6.
4. Finally, the remaining fraction (1/6) represents the fraction of the field used to grow sweet potatoes.
So, the fraction of the field used to grow sweet potatoes is 1/6.