Question

what should be subtracted from to get​

Answer 1

Answer:

21¹/16 = 337/16

7²³/25 = 198/25

337/16 - x = 198/25

x = 198/25- 337/16

x = 7.92 - 21.0625

x = 13.1425

x = 13⁵⁷/400

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x =

Answer 2

$13\frac{57}{400}$ should be subtracted from $21\frac{1}{16}$ to get ​$7 \frac{23}{25}$ ?

Given:

Mixed fractions - $21\frac{1}{16}$ and​ $7 \frac{23}{25}$

To find: What should be subtracted from $21 \frac{1}{16}$ to get $7\frac{23}{25}$?

Solution:

Step1: Convert the given mixed fractions into improper fractions :

$21 \frac{1}{16} = \frac{21 \times16 \ +\ 1 }{16} = \frac{337}{16} \\\\7 \frac{23}{25} = \frac{7 \times25 \ +\ 23 }{25} = \frac{198}{25}$

Step 2: Find x :

Let x be subtracted from $\frac{337}{16}$ to get $\frac{198}{25}$:

LCM of 25 and 16 is 400

$\frac{337}{16} - x = \frac{198}{25} \\\\x = \frac{337}{16} - \frac{198}{25} \\\\\x = \frac{337 \ \times \ 25}{16\ \times \ 25} - \frac{198\ \times \ 16}{25\ \times \ 16} \\\\\x = \frac{8425}{400} - \frac{3168}{400} \\\\\x = \frac{5257}{400}\\\\x = 13\frac{57}{400}$

Hence, $13\frac{57}{400}$ should be subtracted from $21\frac{1}{16}$ to get ​$7 \frac{23}{25}$ .

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