What's 4 and 1/4 divided by 7/10 as a fraction or mixed number in simplest form

Okay so 4 divided by 7/10 = 40/7

40/7 = 5 5/7

now 4 divided by 1/4 is just 16

Remember

(a/b) / (c/d) = (a/b) (d/c) = (ad) / (bc)

invert and multiply

first convert to improprer fraction in form a/b

4 and 1/4=4+1/4=16/4+1/4=17/4

7/10=7/10

4 and 1/4 divided by 7/10=

(17/4) / (7/10) =

(17/4) (10/7) =

(17*10) / (4*7) =

170/28=

85/14

convert to mixed

85/14 is about 6

6*14=54

85/14=84/14+1/14=6+1/14=6 and 1/14

answer is 6 and 1/14