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Question

What should be subtracted from 834 to get 223 ?

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Solution

Step 1: Converting the given statement into mathematical expression.
Let the number that should be subtracted from 834 be x to get 223
834 − 𝑥 = 223
Step 2: Convert the mixed fractions into improper fractions
Now, we have:
834−𝑥=223

𝑀𝑖𝑥𝑒𝑑 𝐹𝑟𝑎𝑐𝑡𝑖𝑜n
=(Integralpart×Denominator+Numerator)Denominator

We will use the above formula to convert the mixed fraction into improper fraction
8×4+34 - 𝑥 = 2×3+23
32+34 - 𝑥 =6+23
354 - 𝑥 =83
x=35483
Step 3: Convert the fractions into like fractions and find the value of x
x=35×34×38×43×4
[LCM of (3,4=12]
=105123212
=1053212
=7312=6112

Hence, 7312 or 6112 should be subtracted from 834 to get 223.

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