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2 2/3 times (-4 1/4)

−1712=−1712

Solution 1 by separating parts Eliminating a negative and changing our operation.

=223−414=223−414

Rewriting our equation with parts separated

=2+23−4−14=2+23−4−14

Solving the whole number parts

2−4=−22−4=−2

Solving the fraction parts

23−14=?23−14=?

Find the LCD of 2/3 and 1/4 and rewrite to solve with the equivalent fractions.
LCD = 12

812−312=512812−312=512

Combining the whole and fraction parts

−2+512=−1712−2+512=−1712

Solution by Formulasc onverting mixed numbers to fractions, our initial equation becomes,

83+−17483+−174

Applying the fractions formula for addition,

=(8×4)+(−17×3)3×4=(8×4)+(−17×3)3×4

=32+−5112=32+−5112

=−1912=−1912

Simplifying -19/12, the answer is

=−1 7/12