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 BYJU'S Exam Prep
Updated on: November 9th, 2023
When a clock’s hour hand moves from 4 to 7, 7 to 10, and 6 to 3, it completes a quarter of a revolution. When it moves from 3 to 9, it completes half a revolution. When it moves from 12 to 9, it completes one-third of a revolution. 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.
Table of content
Clockwise Revolution of Hour Hand of a Clock
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:
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
The hour hand of a clock turns 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. A fraction indicates a portion of a whole or a section of any quantity.
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