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Chapter 1: Q 185. (page 53)

Add or Subtract Fraction.

a23+16b23梅16

Short Answer

Expert verified

Part (a) The value of23+16is 56.

Part (b) The value of 23梅16is 4.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the expression.

a23+16

02

Part (a) Step 2. Determine the operation.

The operation is an addition.

03

Part (a) Step 3. Determine the whether the given fraction has the same denominator.

The given fraction does not have the same denominator.

So, find the least common denominator of 3 and 6.

3=3路16=2路3鈬�LCM=3路2鈬�LCM=6

04

Part (a) Step 4. Multiply the numerator and denominator of each fraction by a factor to get the denominator 6.

23+16=2路23路2+16=46+16
05

Part (a) Step 5. Apply the Fraction Addition rule:ac+bc=a+bc, where c≠0.

23+16=4+16=56

Thus, the value is 56.

06

Part (b) Step 1. Now, consider the fraction.b23÷16Determine the operation.

The operation is division.

07

Part (b) Step 2. Apply the Fraction Division Formula:ab÷cd=ab·dc, where b≠0, c≠0, and d≠0.

23梅16=23路6=23路3路2=4

Hence, the value is 4.

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