Respuesta :
common denominator is going to be 24
8=2*2*2
6=2*3
24=2*2*2*3
8 should be multiplied by 3
6 should be multiplied by 4
7/8=(7*3)/(8*3)=21/24
5/6=(5*4)/(6*4)=20/24
7/8=21/24
5/6=20/24
8=2*2*2
6=2*3
24=2*2*2*3
8 should be multiplied by 3
6 should be multiplied by 4
7/8=(7*3)/(8*3)=21/24
5/6=(5*4)/(6*4)=20/24
7/8=21/24
5/6=20/24
Common denominators are used to combine fractions.
The equivalent fractions are: [tex]\mathbf{\frac{21}{24}}[/tex] and [tex]\mathbf{\frac{20}{24}}[/tex]
The fractions are given as:
[tex]\mathbf{\frac{7}{8}}[/tex] and [tex]\mathbf{\frac{5}{6}}[/tex]
First, we determine the LCM of 8 and 6.
So, we have:
[tex]\mathbf{8 = 2 \times 2 \times 2}[/tex]
[tex]\mathbf{6 = 2 \times 3}[/tex]
So, the LCM is:
[tex]\mathbf{LCM = 2 \times 2 \times 2 \times 3}[/tex]
[tex]\mathbf{LCM = 24}[/tex]
Express 24 as a multiple of 6 and 8
[tex]\mathbf{24 = 3 \times 8}[/tex]
[tex]\mathbf{24 = 4 \times 6}[/tex]
So, the fractions become:
[tex]\mathbf{\frac{7}{8}}[/tex] and [tex]\mathbf{\frac{5}{6}}[/tex]
[tex]\mathbf{\frac{7 \times 3}{8 \times 3}}[/tex] and [tex]\mathbf{\frac{5 \times 4}{6 \times 4}}[/tex]
[tex]\mathbf{\frac{21}{24}}[/tex] and [tex]\mathbf{\frac{20}{24}}[/tex]
Hence, the equivalent fractions are: [tex]\mathbf{\frac{21}{24}}[/tex] and [tex]\mathbf{\frac{20}{24}}[/tex]
Read more common denominators at:
https://brainly.com/question/14004235