Which equation gives the number of 1/4 centimeter that are in 7/8 centimeter?

A. 1/4 divided by 7/8 = 2/7
B. 7/8 divided by 1/4 = 7/2
C. 7/8 divided by 1/4= 7/32
D. 1/4 divided by 7/8= 32/7

Respuesta :

The answer is B.

remember to use the reciprocal when dividing with fractions

Answer: B. [tex]\dfrac{7}{8}\text{ divided by}\dfrac{1}{4}=\dfrac{7}{2}[/tex]

Step-by-step explanation:

Expression to represent the number of a in b (where b>a) is given by :-

[tex]b\div a=\dfrac{b}{a}[/tex]

Similarly, the expression to represent the number of [tex]\dfrac{1}{4}[/tex] centimeter that are in [tex]\dfrac{7}{8}[/tex] centimeter.

[tex]\dfrac{7}{8}\div\dfrac{1}{4}\\\\=\dfrac{7}{8}\times\dfrac{4}{1}=\dfrac{7}{2}[/tex]

Hence, the correct answer is [tex]\dfrac{7}{8}\text{ divided by }\dfrac{1}{4}=\dfrac{7}{2}[/tex]

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