Simplify ((-4 7/8)÷(-2 2/5))÷3 3/4

Math
-478÷(-225)÷334
Convert 478 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-(4+78)-225334
Add 4 and 78.
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To write 4 as a fraction with a common denominator, multiply by 88.
-(4⋅88+78)-225334
Combine 4 and 88.
-(4⋅88+78)-225334
Combine the numerators over the common denominator.
-4⋅8+78-225334
Simplify the numerator.
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Multiply 4 by 8.
-32+78-225334
Add 32 and 7.
-398-225334
-398-225334
-398-225334
-398-225334
Convert 225 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-398-(2+25)334
Add 2 and 25.
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To write 2 as a fraction with a common denominator, multiply by 55.
-398-(2⋅55+25)334
Combine 2 and 55.
-398-(2⋅55+25)334
Combine the numerators over the common denominator.
-398-2⋅5+25334
Simplify the numerator.
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Multiply 2 by 5.
-398-10+25334
Add 10 and 2.
-398-125334
-398-125334
-398-125334
-398-125334
Convert 334 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-398-1253+34
Add 3 and 34.
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To write 3 as a fraction with a common denominator, multiply by 44.
-398-1253⋅44+34
Combine 3 and 44.
-398-1253⋅44+34
Combine the numerators over the common denominator.
-398-1253⋅4+34
Simplify the numerator.
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Multiply 3 by 4.
-398-12512+34
Add 12 and 3.
-398-125154
-398-125154
-398-125154
-398-125154
Dividing two negative values results in a positive value.
398125154
Multiply the numerator by the reciprocal of the denominator.
398125⋅415
Multiply the numerator by the reciprocal of the denominator.
398⋅512415
Cancel the common factor of 3.
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Factor 3 out of 39.
3(13)8⋅512415
Factor 3 out of 12.
3⋅138⋅53⋅4415
Cancel the common factor.
3⋅138⋅53⋅4415
Rewrite the expression.
138⋅54415
138⋅54415
Multiply 138 and 54.
13⋅58⋅4⋅415
Multiply.
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Multiply 13 by 5.
658⋅4⋅415
Multiply 8 by 4.
6532⋅415
6532⋅415
Cancel the common factor of 5.
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Factor 5 out of 65.
5(13)32⋅415
Factor 5 out of 15.
5⋅1332⋅45⋅3
Cancel the common factor.
5⋅1332⋅45⋅3
Rewrite the expression.
1332⋅43
1332⋅43
Cancel the common factor of 4.
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Factor 4 out of 32.
134(8)⋅43
Cancel the common factor.
134⋅8⋅43
Rewrite the expression.
138⋅13
138⋅13
Multiply 138 and 13.
138⋅3
Multiply 8 by 3.
1324
The result can be shown in multiple forms.
Exact Form:
1324
Decimal Form:
0.5416‾
Simplify ((-4 7/8)÷(-2 2/5))÷3 3/4

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