Question

what is the simplified solution to 3 7/8 - 1 3/4

Answer 1

what is 3 -1 ?

Answer 2

2

Answer 3

right, it's 2 :)

so we already have 2 ...

Answer 4

fractions:

7/8 - 3/4

can we already calculate the result like this?

Answer 5

yes

Answer 6

it is only allowed to subtract/add fractions with the same denominator!

/8 and /4 is not the same denominator
so we can't yet add/subtract those fractions

Answer 7

if you multiply numerator and denominator of a fraction with the same number, the fraction remains the same:

1/2 = 2/4 = 3/6.

3/6 has higher numbers, but 3 of 6 is also a half

Answer 8

ok?

Answer 9

you can e.g. "extend" 1/2 by 5 like this:

5 / 10 <- this is also a half

Answer 10

yes

Answer 11

7/8 and 3/4

is it possible to "extend" one of the fractions and have as result two fractions with the same denominator?

(remember - same denominator is required to add/subtract fractions)

Answer 12

do you know how to extend a fraction?

Answer 13

noo

Answer 14

ok :)

you multiply numerator AND denominator with some number


before:
\[\frac{ 1 }{ 2 }\]after extending with 5:\[\frac{ 1 \times 5 }{ 2 \times 5 } = \frac{ 5 }{ 10 }\]

Answer 15

oh i see

Answer 16

\[\frac{ 7 }{ 8 } ,...\frac{ 3 }{ 4 }\]we want to subtract 3/4 from 7/8, but subtraction/addition is only allowed when fractions have the same DENOMINATOR

the denominator is the number under the line, is it the same here?

Answer 17

no

Answer 18

correct

is it possible to extend one of the fractions so they will have the same denominator though?
which one and extend by what number?

Answer 19

multiply them

Answer 20

\[\frac{ 7 }{ 8 } ,...\frac{ 3 }{ 4 }\]They need the same number under the line, how can that be accomplished?

By extending one of the fractions. Which one and by what?

Answer 21

i have no idea

Answer 22

\[\frac{ 7 }{ 8 } ,...\frac{ 3 }{ 4 }\]you can extend the second fraction by some number to make it a /8 also ;)

Answer 23

by what number should the second fraction, 3/4, be extended?
so that its denominator will be an 8 ?

Answer 24

the denominator must become an 8 because 7/8 has the denominator 8

extend 3/4 by what to accomplish this ?