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what is 8 3/4 ÷ 2 7/8 (show ur work)

Sagot :

70/23 or 3 1/23


Turn 8 3/4 and 2 7/8 into an improper fraction
35/4 and 23/8
Copy past flip
35/4 x 8/23= 280/92
And then simply 70/23 or 3 1/23


Answer:

see below:-

Step-by-step explanation:

[tex] \displaystyle{8 \frac{3}{4} \div 2 \frac{7}{8} }[/tex]

  • Convert the mixed fractions into improper fractions.

[tex]\displaystyle{ \frac{8 \times 4 + 3}{4} \div \frac{8 \times 2 + 7}{8} }[/tex]

[tex]\displaystyle{ \frac{32 + 3}{4} \div \frac{16 + 7}{8} }[/tex]

[tex]\displaystyle{ \frac{35}{4} \div \frac{23}{8} }[/tex]

[tex]\displaystyle{ \frac{35}{4} \times \frac{8}{23} }[/tex]

[tex]\displaystyle{ \frac{35}{ \cancel4} \times \frac{ \cancel8 {}^{2} }{23} }[/tex]

[tex] \displaystyle{ \frac{35 \times 2}{23} }[/tex]

[tex] \displaystyle{ \frac{70}{23} }[/tex]

[tex] \displaystyle{3 \frac{1}{23} }[/tex]