Question

what should we added to 1hole 5upon7 to get 2 ?
​

Answer 1

Answer:

$\sf ஃ \:x = \frac{2}{7}$

Step-by-step explanation:

Let the number be 'x'

$\sf 1 \frac{5}{7} + x = 2$

First, convert the mixed fraction into improprer fraction

$\sf q \frac{r}{d} = \frac{q \times d + r}{d}$

$\sf 1 \frac{5}{7} = \frac{1 \times 7 + 5}{7} = \frac{12}{7}$

Now, the equation,

$\sf \frac{12}{7} + x = 2$

$\sf x + \frac{12}{7} = 2$

$\sf x = 2 - \frac{12}{7} = \frac{2}{1} - \frac{12}{7}$

LCM

7 | 1, 7

1, 1

LCM of 1 and 7 = 7

$\sf \frac{2 \times 7}{1 \times 7} = \frac{14}{7}$

$\sf x = \frac{14}{7} - \frac{12}{7} = \frac{14 - 12}{7} = \frac{2}{7}$

In this answer, we learnt:

$\sf • \: \: q \frac{r}{d} = \frac{q \times d + r}{d}$

( Formula for converting mixed fraction into improper fraction )

• Transposing method between fractions