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Pavel [41]
2 years ago
12

How to multiply and divide fractions with a number beside them

Mathematics
1 answer:
NISA [10]2 years ago
4 0

Answer:

After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .

Step-by-step explanation:

Suppose we have fractions

3 4/5   and 2 15/24

So we multiply the whole number with the denominator beside them and add to the numerator to make them an improper fraction.

These will become

19/5   *   63/24

= 19*63/ 5*24

= 1197/120

=  9 117/120

After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .

The answer 1197/120 is divided ( 1197 is divided by 120) to get the mixed number back  with a whole number and a fraction.

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Paco needs at least 3/8 yard of twine to build a model ship. how much twine could he buy.
kolezko [41]

Answer:

Option: c is correct.

Step-by-step explanation:

We are given that paco needs at least 3/8 yard of twine to build a model ship.

that is we require twine of amount greater than 3/8 yards.

<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>

a)

3/10 yard.

As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/10 < 3/8

Hence option a is incorrect.

b)

1/4 yard

As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.

\dfrac{1}{4}\times\dfrac{2}{2}=\dfrac{2}{8}

as 2/8 < 3/8

since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.

Hence option b is incorrect.

c)

3/4 yard

Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/8 < 3/4

Hence, option c is correct.

d)

1/8 yard

clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.

Hence, 1/8 < 3/8

Hence, option d is incorrect.



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