Respuesta :

Step-by-step explanation:

Let's turn each mixed fraction into an improper fraction.

[tex]1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} [/tex]

[tex]2 \frac{1}{5} = \frac{5}{5} + \frac{5}{5} + \frac{1}{5} = \frac{11}{5} [/tex]

We'll use 11/5 twice.

Multiply:

[tex] \frac{5}{4} \times \frac{11}{5} = \frac{55}{20} [/tex]

[tex] \frac{55}{20} = \frac{20}{20} + \frac{20}{20} + \frac{15}{20} = 2 \frac{15 \div 5}{20 \div 5} = 2 \frac{3}{4} [/tex]

Multiply the Second problem:

[tex]\frac{5}{6}\times\frac{11}{5}=\frac{55}{30}[/tex]

[tex]\frac{55}{30} =\frac{30}{30} +\frac{25}{30}= 1 \frac{25 \div 5}{30 \div 5} = 1 \frac{5}{6}[/tex]

Compare:

[tex]2 \frac{3}{4} > 1\frac{5}{6} [/tex]

2 3/4 is greater, we can identify this a few ways:

  • Decimals, 2 3/4 equals 2.75 while 1 5/6 equals 1.83
  • Whole numbers, 2 is greater than 1.
  • Improper fractions, 2 3/4 as an improper fraction is 11/4 while 1 5/6 as an improper fraction is 11/6.

Therefore, your answer is >