If the fraction of the frequencies of two notes has a common factor between the numerator and denominator, the two notes are harmonious. Use the graphic below to find the fraction of frequency of notes D and B

Solution:

Fraction of frequencies of notes D and B is = Frequency of note D ÷ Frequency of note B = 297/495.

On simplifying, the fraction of the frequencies of notes D and B is ⅗. (297÷9)/ (495÷9) = 3/5. Hence note D and B are harmonies.

✦ Try This: Find the product of

i. 7/8 and 2/6

ii. 1/3 and 9/6

iii. 4/8 and 5/2

To solve the above problems you can try following the fraction rules and multiplication property of fractions.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 2

NCERT Exemplar Class 7 Maths Chapter 2 Solved Ex 35

If the fraction of the frequencies of two notes has a common factor between the numerator and denominator, the two notes are harmonious. Use the graphic below to find the fraction of frequency of notes D and B

Summary:

On simplifying, the fraction of the frequencies of notes D and B is ⅗. Hence note D and B are harmonies

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