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