Answer :
So, [tex] \frac{3}{7} [/tex] of her photos are of nature, how many are not of nature? the rest, that is 1-[tex] \frac{3}{7} [/tex] =[tex] \frac{7}{7} [/tex] -[tex] \frac{3}{7} [/tex]=[tex] \frac{4}{7} [/tex]
So, [tex] \frac{4}{7} [/tex] of her photos are not of nature.
this i what "the rest"in the question refers to
so, now
[tex] \frac{1}{4} [/tex] of "the rest", that is of [tex] \frac{4}{7} [/tex] are of her friends. How many is that?
we have to multiply
[tex] \frac{1}{4} [/tex] *[tex] \frac{4}{7} [/tex]
we simplyfy and we get
[tex] \frac{1}{7} [/tex] - this is the correct answer!
So, [tex] \frac{4}{7} [/tex] of her photos are not of nature.
this i what "the rest"in the question refers to
so, now
[tex] \frac{1}{4} [/tex] of "the rest", that is of [tex] \frac{4}{7} [/tex] are of her friends. How many is that?
we have to multiply
[tex] \frac{1}{4} [/tex] *[tex] \frac{4}{7} [/tex]
we simplyfy and we get
[tex] \frac{1}{7} [/tex] - this is the correct answer!
¹/₇
Further explanation
Given:
Sarah has a photography blog.
- [tex]\frac{3}{7}[/tex] of her photos are of nature.
- [tex]\frac{1}{4}[/tex] of the rest are of her friends.
Question:
What fraction of all Sarah's photos is of her friends?
The Process:
Let us draw a 7 unit diagram that represents all of Sarah's photos.
[tex]\boxed{\circ} \ \boxed{\circ} \ \boxed{\circ} \ \boxed{\circ} \ \boxed{\circ} \ \boxed{\circ} \ \boxed{\circ} = 7 \ units[/tex]
This number 7 comes from the denominator in a fraction of [tex]\frac{3}{7}[/tex].
- [tex]\frac{3}{7}[/tex] of her photos are of nature or 3 of 7 units.
- [tex]Nature: \boxed{\circ} \ \boxed{\circ} \ \boxed{\circ}[/tex]
The rest is 7 - 3 = 4 units.
[tex]The \ rest: \boxed{\circ} \ \boxed{\circ} \ \boxed{\circ}\ \boxed{\circ}[/tex]
- [tex]\frac{1}{4}[/tex] of the rest are of her friends or 1 of 4 units from the rest.
- [tex]Her \ friends: \boxed{\circ}[/tex]
Look at the diagram of 1 unit from her friends above, representing 1 of 7 units in total.
Thus, [tex]\frac{1}{7}[/tex] of all of Sarah's photos are of her friends.
- - - - - - - - - -
Quick Steps
[tex]\boxed{ \ \frac{1}{4} \times \bigg( 1 - \frac{3}{7} \bigg) = \ ? \ }[/tex]
[tex]\boxed{ \ = \frac{1}{4} \times \bigg( \frac{7}{7} - \frac{3}{7} \bigg) \ }[/tex]
[tex]\boxed{ \ = \frac{1}{4} \times \frac{4}{7} \ }[/tex]
We crossed out 4 and 4.
[tex]\boxed{\boxed{ \ \frac{1}{7} \ }}[/tex]
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Keywords: Sarah, has a photography blog, 3/7 of her photos, nature, 1/4 of the res, her friends, what fraction, all Sarah's photos, with model, diagram