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

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

What's the denominator