Home
Class 8
MATHS
Divide: (9)/(16) by (5)/(8)...

Divide:
`(9)/(16)` by `(5)/(8)`

A

`(9)/(10)`

B

`(3)/(2)`

C

`(5)/(4)`

D

`(9)/(4)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of dividing the fraction \( \frac{9}{16} \) by \( \frac{5}{8} \), we can follow these steps: ### Step 1: Write the division of fractions We start with the expression: \[ \frac{9}{16} \div \frac{5}{8} \] ### Step 2: Convert the division into multiplication To divide by a fraction, we multiply by its reciprocal. The reciprocal of \( \frac{5}{8} \) is \( \frac{8}{5} \). Therefore, we can rewrite the expression as: \[ \frac{9}{16} \times \frac{8}{5} \] ### Step 3: Multiply the fractions Now, we multiply the numerators and the denominators: \[ \frac{9 \times 8}{16 \times 5} \] This simplifies to: \[ \frac{72}{80} \] ### Step 4: Simplify the fraction Next, we simplify \( \frac{72}{80} \) by finding the greatest common divisor (GCD) of 72 and 80. The GCD is 8. We divide both the numerator and the denominator by 8: \[ \frac{72 \div 8}{80 \div 8} = \frac{9}{10} \] ### Final Answer Thus, the result of dividing \( \frac{9}{16} \) by \( \frac{5}{8} \) is: \[ \frac{9}{10} \] ---
Promotional Banner

Topper's Solved these Questions

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise EXERCISE 1A|10 Videos

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise EXERCISE 1B|3 Videos

  • RATIONAL NUMBERS

    RS AGGARWAL|Exercise TEST PAPER|19 Videos

  • QUADRILATERALS

    RS AGGARWAL|Exercise EXERCISE 15|8 Videos

  • SQUARES

    RS AGGARWAL|Exercise TEST PAPER-3|15 Videos

Similar Questions

Explore conceptually related problems

Simplify: {:((i)(4)/(9) divide (-5)/(12),(ii) -8 divide (-7)/(16),(iii) (-12)/(7) divide (-18)),((iv)(-1)/(10) divide (-8)/(5), (v) (-16)/(35) divide (-15)/(14), (vi) (-65)/(14) divide (13)/(7)):}

Divide: (-3)/4\ b y9/(-16) (ii) (-7)/8\ b y\ (-21)/(16)

Divide: 3/8b y\ 4 (ii) 9/(16)\ b y\ 6

Divide :1by(1)/(2) (ii) 5by(-5)/(7) (iii) (-3)/(4)by(9)/(-16)

Simplify : (i) (4)/(9)divide((-5)/(12)) (ii) -8divide((-5)/(16)) (iii) (-12)/(7)divide (-18) (iv) ((-1)/(10))divide((-8)/(5)) (v) ((-16)/(35))divide ((-15)/(14)) (vi) ((-65)/(14))divide((13)/(-7))

Verify whether the given statement is true or false: (i) (13)/(5) divide (26)/(10) = (26)/(10) divide (13)/(5) (ii) -9 divide (3)/(4)=(3)/(4) divide (-9) (iii) (-8)/(9) divide (-4)/(3)=(-4)/(3) divide (-8)/(9) (iv) (-7)/(24) divide (3)/(-16) = (3)/(-16) divide (-7)/(24)

Divide :(3)/(5)by(4)/(25) (ii) (-8)/(9)by(4)/(3)(-16)/(21)by(-4)/(3) (iv) (8)/(13)by(3)/(-26)

Divide :(-7)/(8)by(-21)/(16) (ii) (7)/(-4)by(63)/(64) (iii) 0 by (-7)/(5)

Verify whether the given statement is true or false: ((5)/(9) divide (1)/(3)) divide (5)/(2)=(5)/(9) divide ((1)/(3) divide (5)/(2))

((-9)/(16)xx(8)/(15))=?