Find the value of 31 1 6 × 31 5 6 by using Ekaadhiken Purven Sutra.

To find the value of 31 1 6 × 31 5 6 by using Ekaadhiken Purven Sutra: Now, 31 1 6 × 31 5 6 = 31 × 31 + 1 / 1 6 × 5 6 ⇒ 31 1 6 × 31 5 6 = 31 × 32 / 5 36 ⇒ 31 1 6 × 31 5 6 = 992 5 36 .

Which of the drawings show 2 × 1 5 :

Given fraction is: 2 × 1 5 = 1 5 + 1 5 1 5 represents 1 part out of 5 parts. Among all the figures given, only the last figure is divided into 5 parts, and two such circles are there. Hence, the drawing that shows 2 × 1 5 is:

One tin holds 12 3 4 litres of oil. How many litres of oil can 26 such tins hold?

Given: Capacity of 1 tin = 12 3 4 L Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 12 3 4 L = 4 × 12 + 3 4 = 51 4 L Capacity of 26 such tins = 26 × 51 4 L ⇒ 26 1 × 51 4 L = 26 × 51 1 × 4 L = 13 × 51 1 × 2 L = 663 2 L Also, conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator . If we divide 663 ÷ 2 , we get Quotient = 331 Remainder = 1 Therefore, 663 2 L = 331 1 2 L Hence, 26 such tins can hold 331 1 2 litres of oil.

EASY

Earn 100

Express $8 \times \frac{3}{5}$ in the improper fraction form.

50% studentsanswered this correctly

Important Questions on Fractions and Decimals

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

Which one of the following fractions will have minimum change in its value if

3

is added to both the numerator and the denominator of all the fractions?

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

A man covers

\frac{5}{12}

of a total journey by train,

\frac{7}{18}

of the journey by bus and the remaining

7 km

on foot. His total journey is:

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

A school group charters three identical buses and occupies

\frac{4}{5}

of the seats. After

\frac{1}{4}

of the passengers leave, the remaining passengers use only two of the buses. The fraction of the seats on the two buses that are now occupied is

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by

\frac{175}{4} %

. What was the value of the fraction?

MEDIUM

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

A cake is distributed among 5 friends. Four of them get $\frac{1}{8}, \frac{1}{6}, \frac{5}{12}$ and $\frac{1}{12}$ , and as shares. What part of the cake will be got by the fifth friend?

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

A fraction is such that the numerator is five less than the denominator. Also four times the numerator is one more than the denominator. The fraction is:

EASY

Mathematics>Arithmetic>Fractions and Decimals>Multiplication of Fractions

Three numbers are in the ratio