Find the reciprocal of the following: 3/13 ÷ -4/65

Solution:

Given, 3/13 ÷ -4/65

We have to find the reciprocal of the given expression.

Reciprocal means an expression which when multiplied by another expression, gives unity (1) as a result.

The reciprocal of any quantity is, one divided by that quantity.

Reciprocal of -4/65 = 1/(-4/65) = -65/4

Now, 3/13 ÷ -4/65 = (3/13) × (-65)/4

= 3 × (-65) / (13 × 4)

= -195/52

On dividing the numerator and denominator by 3,

= (-195/3) / (52/3)

= -65/14

Reciprocal of -65/14 = 1/(-65/14)

= -14/65

Therefore, the reciprocal is -14/65

✦ Try This: Find the reciprocal of the following: 3/17 ÷ -5/69

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

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NCERT Exemplar Class 7 Maths Chapter 8 Problem 86(iii)

Find the reciprocal of the following: 3/13 ÷ -4/65

Summary:

The reciprocal of 3/13 ÷ -4/65 is -14/65

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☛ Related Questions:

• Find the reciprocal of the following: (-5 × 12/15) - (-3 × 2/9)
• Complete the following table by finding the sums: + -1/9 4/11 -5/6 2/3 -5/4 -39/44 -1/3
• Six-eighths: Write the following number in the form p/q, where p and q are integers