What is the value of this expression? 335÷35 a) 18 b) 5 c) 2425 d) 6

Step 1 The division of two fractions can be done by multiplying the reciprocal of the second fraction with the first fraction. The division of two fractions can be obtained using the relation ab÷cd=ab×dc. The conversion of mixed fraction to improper fraction can be done by using the formula, wholenumeratordenominator=whole×denominator+numeratordenominator Step 2 Consider the division of fractions, 335÷35, 335÷35=(3×5)+35÷35 =15+35÷35 =185÷35 {use the formab÷cd=ab×dc, cancel the commom multiples} =185×53 =6 Hence we have the value of the expression 6. Hence option (d) is correct .

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Isa Trevino

Answered question

2021-10-16

What is the value of this expression?

3 \frac{3}{5} \div \frac{3}{5}

a) 18
b) 5
c)

2 \frac{4}{25}

d) 6

Answer & Explanation

Ayesha Gomez

Skilled2021-10-17Added 104 answers

Step 1
The division of two fractions can be done by multiplying the reciprocal of the second fraction with the first fraction.
The division of two fractions can be obtained using the relation $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ .
The conversion of mixed fraction to improper fraction can be done by using the formula,
$whole \frac{numerator}{denominator} = \frac{whole \times denominator + numerator}{denominator}$
Step 2
Consider the division of fractions, $3 \frac{3}{5} \div \frac{3}{5}$ ,
$3 \frac{3}{5} \div \frac{3}{5} = \frac{(3 \times 5) + 3}{5} \div \frac{3}{5}$
$= \frac{15 + 3}{5} \div \frac{3}{5}$
$= \frac{18}{5} \div \frac{3}{5}$
${use the form \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}, cancel the commom multiples}$
$= \frac{18}{5} \times \frac{5}{3}$
$= 6$
Hence we have the value of the expression 6.
Hence option (d) is correct .

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