What fraction of 4/7 must be added to itself to make the sum 15/14?
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Answered by
1
Answer:
we have to find the fraction of
7
4
which must be added to itself to make the sum
14
15
Let x be the fraction of \frac{4}{7}
7
4
⇒ x\times \frac{4}{7}+\frac{4}{7}=\frac{15}{14}x×
7
4
+
7
4
=
14
15
\frac{4}{7}(x+1)=\frac{15}{14}
7
4
(x+1)=
14
15
x+1=\frac{15}{14}\times \frac{7}{4}x+1=
14
15
×
4
7
x=\frac{15}{8}-1=\frac{7}{8}x=
8
15
−1=
8
7
\text{Hence, the fraction is }\frac{7}{8}Hence, the fraction is
8
7
Answered by
0
Answer:
To find the fraction of
that must be added to itself to make the sum
Let x be the fraction of
= x × 4/7 +4/7 = 15/14
= 4/7(x+1) = 15/14
= x + 1 = 15/14 × 7/4
= x = 15/8 - 1
= x = 7/8
The fraction is 7/8
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