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\(\frac{5932+6001x5931}{5932x6001-69}\)
\(=\frac{6001+6001x5931-69}{5932x6001-69}\)
\(=\frac{6001x\left(1+5931\right)-69}{5932x6001-69}\)
\(=\frac{6001x5932-69}{5932x6001-69}\)
\(=1\)
\(\frac{5932+6001\times5931}{5932\times6001-69}\)
\(=\frac{5932+6001\times5931}{\left(5931+1\right)\times6001-69}\)
\(=\frac{5932+6001\times5931}{5931\times6001+6001-69}\)
\(=\frac{5932+6001\times5931}{5931\times6001+5932}\)
\(=1\)
~ Study Well ~
a, \(\dfrac{254\times399-145}{254+399\times253}\)
= \(\dfrac{\left(253+1\right)\times399-`45}{254+399\times253}\)
= \(\dfrac{253\times399+399-145}{253\times399+254}\)
= \(\dfrac{253\times399+254}{253\times399+254}\)
= 1
b, \(\dfrac{5932+6001\times5931}{5932\times6001-69}\)
= \(\dfrac{5932+6001\times5931}{\left(5931+1\right)\times6001-69}\)
= \(\dfrac{5932+6001\times5931}{5931\times6001+6001-69}\)
= \(\dfrac{5932+6001\times5931}{5931\times6001+5932}\)
= 1
a . 254 x 399 - 145 / 254 + 399 x 253 = ( 253 + 1 ) x 399 - 145 / 254 + 399 x 253
= 253 x 399 + 1 x 399 - 145 / 254 + 399 x 253
=253 x 399 + 399 - 145 / 254 + 399 x 253
= 253 x 399 + ( 399 - 145) / 254 + 399 x 253
= 253 x 399 + 254 / 254 + 399 x 253
= 1
b. 1997 x 1996 - 995 / 1995 x 1997 + 1002 = 1997 x ( 1995 + 1 ) - 995 / 1995 x 1997 + 1002
= 1997 x 1995 + 1997 - 1995 / 1995 x 1997 + 1002
= 1997 x 1995 + ( 1997 - 995 ) / 1995 x1997 + 1002
= 1997 x1995 + 1002 / 1995 x 1997 + 1002
= 1
c. 5932 + 6001 x 5031 / 5932 x 6001 - 69 = 5932 + 6001 x 5031 / ( 5031 + 1 ) x 6001 - 69
= 5932 + 6001 x 5031 / 5031 x 6001 + 6001 - 69
= 5932 + 6001 x 5031 / 5031 x 6001 + ( 6001 - 69 )
= 5932 + 6001 x 5031 / 5031 x 6001 + 5932
= 1
d. 1995 x 1997 - 1 / 1996 x 1995 + 1994 = 1995 x ( 1996 + 1 ) - 1 / 1996 x 1995 + 1994
= 1995 x1996 + 1995 - 1 / 1996 x 1995 + 1994
= 1995 x 1996 + ( 1995 - 1 ) / 1996 x 1995 + 1994
= 1995 x 1996 + 1994 / 1996 x 1995 + 1994
= 1
\(\dfrac{5932+6001x5931}{5932x600-69}=\dfrac{5932+6001x\left(5932-1\right)}{5932x6001-69}=\dfrac{5932+6001x5932-6001}{5932x6001-69}=\dfrac{5932x6001-\left(6001-5932\right)}{5932x6001-69}=\dfrac{5932x6001-69}{5932x6001-69}=1\)
\(=\dfrac{5931+6001\cdot5931+1}{5931\cdot6001+6001-69}\)
\(=\dfrac{5931\cdot6001+5932}{5931\cdot6001+5932}=1\)
B = 5932 + 6001 × 5931 / 5932 × 6001 - 69
B = 5932 + 6001 × 5931 / (5931 + 1) × 6001 - 69
B = 5932 + 6001 × 5931 / 5931 × 6001 + (6001 - 69)
B = 5932 + 6001 × 5931 / 5931 × 6001 + 5932
B = 1
B=1