Question
What should be added to $6\frac{7}{15}$ to get $8\frac{1}{5}$?
✓
Answer
Let $x$ be added to $6\frac{7}{15}$ to get $8\frac{1}{5}$
Therefore, $6\frac{7}{15}+\text{x}=8\frac{1}{5}$
Thus, we have: $\text{x}=8\frac{1}{5}-6\frac{7}{15}$
$=\frac{41}{5}-\frac{97}{15}$ $L.C.M$. of $5$ and $15 = (5 \times 3) = 15 =\frac{(123-97)}{15}$
$\Big(\frac{15}{5}=3,3\times41=123\Big)$
and $\Big(\frac{15}{15}=1,1\times97=97\Big)$
$=\frac{26}{15}$
$=1\frac{11}{15}$
Therefore, $6\frac{7}{15}+\text{x}=8\frac{1}{5}$
Thus, we have: $\text{x}=8\frac{1}{5}-6\frac{7}{15}$
$=\frac{41}{5}-\frac{97}{15}$ $L.C.M$. of $5$ and $15 = (5 \times 3) = 15 =\frac{(123-97)}{15}$
$\Big(\frac{15}{5}=3,3\times41=123\Big)$
and $\Big(\frac{15}{15}=1,1\times97=97\Big)$
$=\frac{26}{15}$
$=1\frac{11}{15}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find equivalent fractions for the given pairs of fractions such that the fractional units are the same.
$\frac{6}{7}$ and $\frac{8}{5}$
→$\frac{6}{7}$ and $\frac{8}{5}$
The $1st, 3rd$ and $4th$ terms of a proportion are $12, 8$ and $14$ respectively. Find the 2nd term.
→Kunal purchased a notebook for $Rs. 19.75$, a pencil for $Rs. 3.85$ and a pen for $Rs. 8.35$ from a bookshop. He gave a $50$ rupee note to the shopkeeper. What amount did he get back?
→Find the other three proportions involving terms the following:
$12 : 18 = 14 : 21$
→$12 : 18 = 14 : 21$
Radius of the Earth is $6400\ km$ and that of Mars is $4300000m$. Whose radius is bigger and by how much?
→Write the fraction representing the shaded portion
Simplify: $xy - yz - zx - {yx - (3y - xz) - (xy - zy)}$
→How many lines of symmetry and angles of symmetry does Ashoka Chakra have?
Which ratio is larger in the following pairs? $15 : 16$ or $24 : 24$
→Complete the following table:
From the above table.
$i.\ $Write all the pairs of integers whose sum is $0.$
$ii.\ $Is $(-4) + (-2) = (-2) + (-4)?$
$iii.\ $Is $0 + (-6) = -6?$
→| $+$ | $-6$ | $-4$ | $-2$ | $0$ | $2$ | $4$ | $6$ |
| $6$ | $10$ | ||||||
| $4$ | |||||||
| $2$ | $8$ | ||||||
| $0$ | $-6$ | ||||||
| $-2$ | |||||||
| $-4$ | $0$ | ||||||
| $-6$ | $-6$ |
$i.\ $Write all the pairs of integers whose sum is $0.$
$ii.\ $Is $(-4) + (-2) = (-2) + (-4)?$
$iii.\ $Is $0 + (-6) = -6?$