What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from (a) 3 to 9 (b) 4 to 7 (c) 7 to 10 (d) 12 to 9 (e) 1 to 10 (f) 6 to 3

By Ritesh|Updated : September 5th, 2022

In Mathematics, a fraction is defined as part of a whole. An entity is an object or a group. In real life, if a cake is cut from a whole cake, then the portion is a fraction of the cake. Fraction is a word that arises from Latin. In Latin, "Fractus" refers to "broken." In the olden days, a fraction was represented using words. It was later introduced in numerical form. The fraction is termed as a section or portion of any quantity. It is indicated by using the ‘/’ symbol, i.e., a/b.

The fractions have two parts, namely the numerator and the denominator.

  • Numerator: The upper part in the fraction which represents the sections of the fraction
  • Denominator: The lower part shows the total parts by which the fraction is divided.

We can see that 1 clockwise revolution will be completed when the hour hand rotates by 360°

(a) 3 to 9

On the clock from 3 to 9, the hour hand turns clockwise 1/2 of the revolution.

(b) 4 to 7

On the clock from 4 to 7, the hour hand turns clockwise 1/4 of the revolution.

(c) 7 to 10

On the clock from 7 to 10, the hour hand turns 1/4 of the revolution clockwise.

(d) 12 to 9

On the clock from 12 to 9, the hour hand turns clockwise 3/4 of the revolution.

(e) 1 to 10

On the clock from 1 to 10, the hour hand turns clockwise 3/4 of the revolution.

(f) 6 to 3

On the clock from 6 to 3, the hour hand turns clockwise 1/4 of the revolution.

Summary:

The hour hand of a clock turn through ¼ of the revolution when it goes from 4 to 7, 7 to 10, and 6 to 3, ½ of the revolution when it goes from 3 to 9, and ¾ when it goes from 12 to 9, and 1 to 10.

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