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In each pair, tell if the fractions are equal by using cross multiplication.
a. 5/30 and 1/6
b.4/12 and 21/60
c. 17/34 and 41/82
d. 6/9 and 25/36​

Respuesta :

calculista

Answer:

a. 5/30 and 1/6 ---> are equal

b.4/12 and 21/60 ---> are not equal

c. 17/34 and 41/82 ---> are equal

d. 6/9 and 25/36​ ---> are not equal

Step-by-step explanation:

case a) we have  5/30 and 1/6

equate the fractions

[tex]\frac{5}{30}=\frac{1}{6}[/tex]

using cross multiplication

[tex](5)(6)=(30)(1)[/tex]

[tex]30=30[/tex] ----> is true

therefore

The fractions are equal

case b) we have  4/12 and 21/60

equate the fractions

[tex]\frac{4}{12}=\frac{21}{60}[/tex]

using cross multiplication

[tex](4)(60)=(21)(12)[/tex]

[tex]240=252[/tex] ----> is not true

therefore

The fractions are not equal

case c) we have  17/34 and 41/82

equate the fractions

[tex]\frac{17}{34}=\frac{41}{82}[/tex]

using cross multiplication

[tex](17)(82)=(41)(34)[/tex]

[tex]1,394=1,394[/tex] ----> is true

therefore

The fractions are equal

case d) we have  6/9 and 25/36​

equate the fractions

[tex]\frac{6}{9}=\frac{25}{36}[/tex]

using cross multiplication

[tex](6)(36)=(25)(9)[/tex]

[tex]216=225[/tex] ----> is not true

therefore

The fractions are not equal

luisejr77

Answer:

a. The fractions are equal.

b. The fractions are not equal

c. The fractions are equal.

d. The fractions are not equal

Step-by-step explanation:

By definition, equivalent fractions have the same value, but they look different.

In order to verify if two fractions are equivalent, you can use Cross multiplication.

The procedure is: multiply the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.

Then:

[tex]a.\ \frac{5}{30}=\frac{1}{6}\\\\5*6=1*30\\\\30=30\ (The\ fractions\ are\ equal)[/tex]

[tex]b.\ \frac{4}{12}=\frac{21}{60}\\\\4*60=21*12\\\\240=252\ (FALSE.\ The\ fractions\ are\ not\ equal)[/tex]

[tex]c.\ \frac{17}{34}=\frac{41}{82}\\\\17*82=41*34\\\\1394=1394\ (The\ fractions\ are\ equal)[/tex]

[tex]d.\ \frac{6}{9}=\frac{25}{36}\\\\6*36=25*9\\\\216=225\ (FALSE.\ The\ fractions\ are\ not\ equal)[/tex]

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