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=354−83
Step 3: Convert the fractions into like fractions and find the value of x
x=35×34×3−8×43×4
[LCM of (3,4=12]
=10512−3212
=105−3212
=7312=6112
Hence, 7312 or 6112 should be subtracted from 834 to get 223.