Studdy Solution
STEP 1
Assumptions1. All operations are performed from left to right, following the order of operations (PEMDAS/BODMAS).
. All fractions are reduced to their lowest terms.
STEP 2
First, we need to convert the whole number into a fraction so that we can subtract it from 97.
=1
STEP 3
To subtract two fractions, they must have the same denominator. So, we convert 13 to have a denominator of9.
13=1×93×9=927
STEP 4
Now, subtract 927 from 97.
97−927=97−27=9−20
STEP 5
Now, we need to simplify the denominator 4 by reducing it to its lowest terms.
4=32
STEP 6
Now, we have the fraction 329−20. To simplify this, we multiply the numerator by the reciprocal of the denominator.
329−20=9−20×23=18−60
STEP 7
implify 18−60 to its lowest terms.
18−60=−310
STEP 8
Now, we need to divide −310 by 23. To do this, we multiply −310 by the reciprocal of 23.
−310÷23=−310×32=−20
STEP 9
Now, we add −920 to 43. To do this, we first need to convert 43 to have a denominator of9.
43=4×93×9=3627
STEP 10
Now, add −920 to 3627.
−920+3627=36−80+3627=36−53
STEP 11
implify 36−53 to its lowest terms.
36−53=−3653The simplified form of the given expression is −3653.
