how do I solve 7 1/8÷4 3/4
Mathematics · Middle School · Tue Nov 03 2020
Answered on
To solve for the quotient, first convert the mixed fractions into improper fractions.
Converting a mixed number 7 18 to a improper fraction:
= 7 1/8
= 7 *8 + 1/8
= 56 + 1/8
= 57/8
Conversion a mixed number 4 3/4 to a improper fraction:
= 4 3/4
= 4 *4 + 3/4
= 16 + 3/4
= 19/4
Divide 57/8 by 19/4
= 57/8 / 19/4
Get the reciprocal value of 19/4
= 57/8 * 4/19
= 57* 4 /19 *8
= 228/152
To simplify, divide both numerator and denominator by the common factor 76.
= 76 *3/76 *2
= 3/2
Therefore, the quotient of 7 1/8÷4 3/4 is 3/2